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Finding the Third Proportional to 57,760 and 124,114

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Solution

The third proportional to 57,760 and 124,114 is: 266,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,760 : 124,114 = 124,114 : x
  2. Step 2: Convert to fraction form
    57,760/124,114 = 124,114/x
  3. Step 3: Cross multiply
    57,760x = 124,114 × 124,114
  4. Step 4: Simplify right side
    57,760x = 15,404,284,996
  5. Step 5: Solve for x
    x = 15,404,284,996/57,760
  6. Step 6: Final answer
    x = 266,694.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.