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Finding the Third Proportional to 48,332 and 106,471

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Solution

The third proportional to 48,332 and 106,471 is: 234,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,332 : 106,471 = 106,471 : x
  2. Step 2: Convert to fraction form
    48,332/106,471 = 106,471/x
  3. Step 3: Cross multiply
    48,332x = 106,471 × 106,471
  4. Step 4: Simplify right side
    48,332x = 11,336,073,841
  5. Step 5: Solve for x
    x = 11,336,073,841/48,332
  6. Step 6: Final answer
    x = 234,545.93

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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.