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Finding the Third Proportional to 48,481 and 71,125

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Solution

The third proportional to 48,481 and 71,125 is: 104,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,481 : 71,125 = 71,125 : x
  2. Step 2: Convert to fraction form
    48,481/71,125 = 71,125/x
  3. Step 3: Cross multiply
    48,481x = 71,125 × 71,125
  4. Step 4: Simplify right side
    48,481x = 5,058,765,625
  5. Step 5: Solve for x
    x = 5,058,765,625/48,481
  6. Step 6: Final answer
    x = 104,345.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.