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Finding the Third Proportional to 48,074 and 71,711

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Solution

The third proportional to 48,074 and 71,711 is: 106,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,074 : 71,711 = 71,711 : x
  2. Step 2: Convert to fraction form
    48,074/71,711 = 71,711/x
  3. Step 3: Cross multiply
    48,074x = 71,711 × 71,711
  4. Step 4: Simplify right side
    48,074x = 5,142,467,521
  5. Step 5: Solve for x
    x = 5,142,467,521/48,074
  6. Step 6: Final answer
    x = 106,969.83

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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.