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Finding the Third Proportional to 45,944 and 73,715

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Solution

The third proportional to 45,944 and 73,715 is: 118,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,944 : 73,715 = 73,715 : x
  2. Step 2: Convert to fraction form
    45,944/73,715 = 73,715/x
  3. Step 3: Cross multiply
    45,944x = 73,715 × 73,715
  4. Step 4: Simplify right side
    45,944x = 5,433,901,225
  5. Step 5: Solve for x
    x = 5,433,901,225/45,944
  6. Step 6: Final answer
    x = 118,272.27

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.