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Finding the Third Proportional to 62,842 and 136,766

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Solution

The third proportional to 62,842 and 136,766 is: 297,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842 : 136,766 = 136,766 : x
  2. Step 2: Convert to fraction form
    62,842/136,766 = 136,766/x
  3. Step 3: Cross multiply
    62,842x = 136,766 × 136,766
  4. Step 4: Simplify right side
    62,842x = 18,704,938,756
  5. Step 5: Solve for x
    x = 18,704,938,756/62,842
  6. Step 6: Final answer
    x = 297,650.28

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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.