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Finding the Third Proportional to 62,472 and 127,254

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Solution

The third proportional to 62,472 and 127,254 is: 259,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,472 : 127,254 = 127,254 : x
  2. Step 2: Convert to fraction form
    62,472/127,254 = 127,254/x
  3. Step 3: Cross multiply
    62,472x = 127,254 × 127,254
  4. Step 4: Simplify right side
    62,472x = 16,193,580,516
  5. Step 5: Solve for x
    x = 16,193,580,516/62,472
  6. Step 6: Final answer
    x = 259,213.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.