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Distributions - Additional Information (Detail) (USD $)
1 Months Ended 3 Months Ended
Feb. 28, 2015
Mar. 31, 2015
Cash Distributions [Abstract]    
Total cash distributions declared and paid $ 236,363us-gaap_PartnersCapitalAccountDistributions  
Distribution to limited partner, declaration date   Apr. 23, 2015
Distribution to limited partners amount declared   182,156us-gaap_DistributionMadeToLimitedPartnerCashDistributionsDeclared
Distribution to limited partner, per unit amount declared   $ 3.85us-gaap_DistributionMadeToLimitedPartnerDistributionsDeclaredPerUnit
Distribution to limited partner, distribution date   May 07, 2015
Distributions to general partner   $ 1,840us-gaap_GeneralPartnersCapitalAccountDistributionAmount
General partner, partnership interest percentage   1.00%dtrpiii_GeneralPartnersCapitalAccountPartnershipInterestPercentage
Distribution to general partner, distribution date   May 31, 2015