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Finding the Third Proportional to 57,517.31 and 123,031.13

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Solution

The third proportional to 57,517.31 and 123,031.13 is: 263,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,517.31 : 123,031.13 = 123,031.13 : x
  2. Step 2: Convert to fraction form
    57,517.31/123,031.13 = 123,031.13/x
  3. Step 3: Cross multiply
    57,517.31x = 123,031.13 × 123,031.13
  4. Step 4: Simplify right side
    57,517.31x = 15,136,657,718.77
  5. Step 5: Solve for x
    x = 15,136,657,718.77/57,517.31
  6. Step 6: Final answer
    x = 263,166.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.