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Finding the Third Proportional to 48,166 and 71,738

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Solution

The third proportional to 48,166 and 71,738 is: 106,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,166 : 71,738 = 71,738 : x
  2. Step 2: Convert to fraction form
    48,166/71,738 = 71,738/x
  3. Step 3: Cross multiply
    48,166x = 71,738 × 71,738
  4. Step 4: Simplify right side
    48,166x = 5,146,340,644
  5. Step 5: Solve for x
    x = 5,146,340,644/48,166
  6. Step 6: Final answer
    x = 106,845.92

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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.