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Finding the Third Proportional to 108,037.50 and 170,935.50

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Solution

The third proportional to 108,037.50 and 170,935.50 is: 270,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,037.50 : 170,935.50 = 170,935.50 : x
  2. Step 2: Convert to fraction form
    108,037.50/170,935.50 = 170,935.50/x
  3. Step 3: Cross multiply
    108,037.50x = 170,935.50 × 170,935.50
  4. Step 4: Simplify right side
    108,037.50x = 29,218,945,160.25
  5. Step 5: Solve for x
    x = 29,218,945,160.25/108,037.50
  6. Step 6: Final answer
    x = 270,451.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.