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Finding the Third Proportional to 83,841.88 and 124,623.13

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Solution

The third proportional to 83,841.88 and 124,623.13 is: 185,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.88 : 124,623.13 = 124,623.13 : x
  2. Step 2: Convert to fraction form
    83,841.88/124,623.13 = 124,623.13/x
  3. Step 3: Cross multiply
    83,841.88x = 124,623.13 × 124,623.13
  4. Step 4: Simplify right side
    83,841.88x = 15,530,923,284.77
  5. Step 5: Solve for x
    x = 15,530,923,284.77/83,841.88
  6. Step 6: Final answer
    x = 185,240.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.