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Finding the Third Proportional to 57,488 and 85,877

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Solution

The third proportional to 57,488 and 85,877 is: 128,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,488 : 85,877 = 85,877 : x
  2. Step 2: Convert to fraction form
    57,488/85,877 = 85,877/x
  3. Step 3: Cross multiply
    57,488x = 85,877 × 85,877
  4. Step 4: Simplify right side
    57,488x = 7,374,859,129
  5. Step 5: Solve for x
    x = 7,374,859,129/57,488
  6. Step 6: Final answer
    x = 128,285.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.