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Finding the Third Proportional to 48,114 and 71,775

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Solution

The third proportional to 48,114 and 71,775 is: 107,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114 : 71,775 = 71,775 : x
  2. Step 2: Convert to fraction form
    48,114/71,775 = 71,775/x
  3. Step 3: Cross multiply
    48,114x = 71,775 × 71,775
  4. Step 4: Simplify right side
    48,114x = 5,151,650,625
  5. Step 5: Solve for x
    x = 5,151,650,625/48,114
  6. Step 6: Final answer
    x = 107,071.76

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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.