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Finding the Third Proportional to 80,727.75 and 124,498

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Solution

The third proportional to 80,727.75 and 124,498 is: 192,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,727.75 : 124,498 = 124,498 : x
  2. Step 2: Convert to fraction form
    80,727.75/124,498 = 124,498/x
  3. Step 3: Cross multiply
    80,727.75x = 124,498 × 124,498
  4. Step 4: Simplify right side
    80,727.75x = 15,499,752,004
  5. Step 5: Solve for x
    x = 15,499,752,004/80,727.75
  6. Step 6: Final answer
    x = 192,000.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.