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Finding the Third Proportional to 62,529 and 136,917

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Solution

The third proportional to 62,529 and 136,917 is: 299,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,529 : 136,917 = 136,917 : x
  2. Step 2: Convert to fraction form
    62,529/136,917 = 136,917/x
  3. Step 3: Cross multiply
    62,529x = 136,917 × 136,917
  4. Step 4: Simplify right side
    62,529x = 18,746,264,889
  5. Step 5: Solve for x
    x = 18,746,264,889/62,529
  6. Step 6: Final answer
    x = 299,801.13

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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.