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Finding the Third Proportional to 40,452 and 87,780

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Solution

The third proportional to 40,452 and 87,780 is: 190,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,452 : 87,780 = 87,780 : x
  2. Step 2: Convert to fraction form
    40,452/87,780 = 87,780/x
  3. Step 3: Cross multiply
    40,452x = 87,780 × 87,780
  4. Step 4: Simplify right side
    40,452x = 7,705,328,400
  5. Step 5: Solve for x
    x = 7,705,328,400/40,452
  6. Step 6: Final answer
    x = 190,480.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.