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Finding the Third Proportional to 48,481 and 106,681

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Solution

The third proportional to 48,481 and 106,681 is: 234,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481 : 106,681 = 106,681 : x
  2. Step 2: Convert to fraction form
    48,481/106,681 = 106,681/x
  3. Step 3: Cross multiply
    48,481x = 106,681 × 106,681
  4. Step 4: Simplify right side
    48,481x = 11,380,835,761
  5. Step 5: Solve for x
    x = 11,380,835,761/48,481
  6. Step 6: Final answer
    x = 234,748.37

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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.