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Finding the Third Proportional to 62,418 and 136,498

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Solution

The third proportional to 62,418 and 136,498 is: 298,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,418 : 136,498 = 136,498 : x
  2. Step 2: Convert to fraction form
    62,418/136,498 = 136,498/x
  3. Step 3: Cross multiply
    62,418x = 136,498 × 136,498
  4. Step 4: Simplify right side
    62,418x = 18,631,704,004
  5. Step 5: Solve for x
    x = 18,631,704,004/62,418
  6. Step 6: Final answer
    x = 298,498.89

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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.