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Finding the Third Proportional to 48,229 and 76,744

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Solution

The third proportional to 48,229 and 76,744 is: 122,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,229 : 76,744 = 76,744 : x
  2. Step 2: Convert to fraction form
    48,229/76,744 = 76,744/x
  3. Step 3: Cross multiply
    48,229x = 76,744 × 76,744
  4. Step 4: Simplify right side
    48,229x = 5,889,641,536
  5. Step 5: Solve for x
    x = 5,889,641,536/48,229
  6. Step 6: Final answer
    x = 122,118.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.