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Finding the Third Proportional to 57,051 and 123,761.25

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Solution

The third proportional to 57,051 and 123,761.25 is: 268,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,051 : 123,761.25 = 123,761.25 : x
  2. Step 2: Convert to fraction form
    57,051/123,761.25 = 123,761.25/x
  3. Step 3: Cross multiply
    57,051x = 123,761.25 × 123,761.25
  4. Step 4: Simplify right side
    57,051x = 15,316,847,001.56
  5. Step 5: Solve for x
    x = 15,316,847,001.56/57,051
  6. Step 6: Final answer
    x = 268,476.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.