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Finding the Third Proportional to 83,668 and 124,062

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Solution

The third proportional to 83,668 and 124,062 is: 183,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668 : 124,062 = 124,062 : x
  2. Step 2: Convert to fraction form
    83,668/124,062 = 124,062/x
  3. Step 3: Cross multiply
    83,668x = 124,062 × 124,062
  4. Step 4: Simplify right side
    83,668x = 15,391,379,844
  5. Step 5: Solve for x
    x = 15,391,379,844/83,668
  6. Step 6: Final answer
    x = 183,957.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.