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Finding the Third Proportional to 56,400 and 123,877

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Solution

The third proportional to 56,400 and 123,877 is: 272,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400 : 123,877 = 123,877 : x
  2. Step 2: Convert to fraction form
    56,400/123,877 = 123,877/x
  3. Step 3: Cross multiply
    56,400x = 123,877 × 123,877
  4. Step 4: Simplify right side
    56,400x = 15,345,511,129
  5. Step 5: Solve for x
    x = 15,345,511,129/56,400
  6. Step 6: Final answer
    x = 272,083.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.