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Finding the Third Proportional to 48,687 and 106,385

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Solution

The third proportional to 48,687 and 106,385 is: 232,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,687 : 106,385 = 106,385 : x
  2. Step 2: Convert to fraction form
    48,687/106,385 = 106,385/x
  3. Step 3: Cross multiply
    48,687x = 106,385 × 106,385
  4. Step 4: Simplify right side
    48,687x = 11,317,768,225
  5. Step 5: Solve for x
    x = 11,317,768,225/48,687
  6. Step 6: Final answer
    x = 232,459.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.