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Finding the Third Proportional to 60,092 and 127,948

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Solution

The third proportional to 60,092 and 127,948 is: 272,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,092 : 127,948 = 127,948 : x
  2. Step 2: Convert to fraction form
    60,092/127,948 = 127,948/x
  3. Step 3: Cross multiply
    60,092x = 127,948 × 127,948
  4. Step 4: Simplify right side
    60,092x = 16,370,690,704
  5. Step 5: Solve for x
    x = 16,370,690,704/60,092
  6. Step 6: Final answer
    x = 272,427.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.