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Finding the Third Proportional to 57,145.50 and 123,687

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Solution

The third proportional to 57,145.50 and 123,687 is: 267,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.50 : 123,687 = 123,687 : x
  2. Step 2: Convert to fraction form
    57,145.50/123,687 = 123,687/x
  3. Step 3: Cross multiply
    57,145.50x = 123,687 × 123,687
  4. Step 4: Simplify right side
    57,145.50x = 15,298,473,969
  5. Step 5: Solve for x
    x = 15,298,473,969/57,145.50
  6. Step 6: Final answer
    x = 267,710.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.