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Finding the Third Proportional to 48,086 and 71,730

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Solution

The third proportional to 48,086 and 71,730 is: 106,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,086 : 71,730 = 71,730 : x
  2. Step 2: Convert to fraction form
    48,086/71,730 = 71,730/x
  3. Step 3: Cross multiply
    48,086x = 71,730 × 71,730
  4. Step 4: Simplify right side
    48,086x = 5,145,192,900
  5. Step 5: Solve for x
    x = 5,145,192,900/48,086
  6. Step 6: Final answer
    x = 106,999.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.