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Finding the Third Proportional to 71,118 and 152,781.75

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Solution

The third proportional to 71,118 and 152,781.75 is: 328,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,118 : 152,781.75 = 152,781.75 : x
  2. Step 2: Convert to fraction form
    71,118/152,781.75 = 152,781.75/x
  3. Step 3: Cross multiply
    71,118x = 152,781.75 × 152,781.75
  4. Step 4: Simplify right side
    71,118x = 23,342,263,133.06
  5. Step 5: Solve for x
    x = 23,342,263,133.06/71,118
  6. Step 6: Final answer
    x = 328,218.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.