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Finding the Third Proportional to 83,192 and 124,748

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Solution

The third proportional to 83,192 and 124,748 is: 187,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,192 : 124,748 = 124,748 : x
  2. Step 2: Convert to fraction form
    83,192/124,748 = 124,748/x
  3. Step 3: Cross multiply
    83,192x = 124,748 × 124,748
  4. Step 4: Simplify right side
    83,192x = 15,562,063,504
  5. Step 5: Solve for x
    x = 15,562,063,504/83,192
  6. Step 6: Final answer
    x = 187,062.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.