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Finding the Third Proportional to 48,167.75 and 76,711

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Solution

The third proportional to 48,167.75 and 76,711 is: 122,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,167.75 : 76,711 = 76,711 : x
  2. Step 2: Convert to fraction form
    48,167.75/76,711 = 76,711/x
  3. Step 3: Cross multiply
    48,167.75x = 76,711 × 76,711
  4. Step 4: Simplify right side
    48,167.75x = 5,884,577,521
  5. Step 5: Solve for x
    x = 5,884,577,521/48,167.75
  6. Step 6: Final answer
    x = 122,168.41

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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.