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Finding the Third Proportional to 48,332 and 106,474

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Solution

The third proportional to 48,332 and 106,474 is: 234,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,332 : 106,474 = 106,474 : x
  2. Step 2: Convert to fraction form
    48,332/106,474 = 106,474/x
  3. Step 3: Cross multiply
    48,332x = 106,474 × 106,474
  4. Step 4: Simplify right side
    48,332x = 11,336,712,676
  5. Step 5: Solve for x
    x = 11,336,712,676/48,332
  6. Step 6: Final answer
    x = 234,559.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.