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Finding the Third Proportional to 123,562.13 and 271,181.25

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Solution

The third proportional to 123,562.13 and 271,181.25 is: 595,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,562.13 : 271,181.25 = 271,181.25 : x
  2. Step 2: Convert to fraction form
    123,562.13/271,181.25 = 271,181.25/x
  3. Step 3: Cross multiply
    123,562.13x = 271,181.25 × 271,181.25
  4. Step 4: Simplify right side
    123,562.13x = 73,539,270,351.56
  5. Step 5: Solve for x
    x = 73,539,270,351.56/123,562.13
  6. Step 6: Final answer
    x = 595,160.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.