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Finding the Third Proportional to 48,416 and 106,336

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Solution

The third proportional to 48,416 and 106,336 is: 233,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 106,336 = 106,336 : x
  2. Step 2: Convert to fraction form
    48,416/106,336 = 106,336/x
  3. Step 3: Cross multiply
    48,416x = 106,336 × 106,336
  4. Step 4: Simplify right side
    48,416x = 11,307,344,896
  5. Step 5: Solve for x
    x = 11,307,344,896/48,416
  6. Step 6: Final answer
    x = 233,545.62

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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.