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Finding the Third Proportional to 62,864 and 136,828

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Solution

The third proportional to 62,864 and 136,828 is: 297,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,864 : 136,828 = 136,828 : x
  2. Step 2: Convert to fraction form
    62,864/136,828 = 136,828/x
  3. Step 3: Cross multiply
    62,864x = 136,828 × 136,828
  4. Step 4: Simplify right side
    62,864x = 18,721,901,584
  5. Step 5: Solve for x
    x = 18,721,901,584/62,864
  6. Step 6: Final answer
    x = 297,815.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.