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Finding the Third Proportional to 62,512 and 136,892

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Solution

The third proportional to 62,512 and 136,892 is: 299,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,512 : 136,892 = 136,892 : x
  2. Step 2: Convert to fraction form
    62,512/136,892 = 136,892/x
  3. Step 3: Cross multiply
    62,512x = 136,892 × 136,892
  4. Step 4: Simplify right side
    62,512x = 18,739,419,664
  5. Step 5: Solve for x
    x = 18,739,419,664/62,512
  6. Step 6: Final answer
    x = 299,773.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.