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Finding the Third Proportional to 40,532 and 87,120

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Solution

The third proportional to 40,532 and 87,120 is: 187,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,532 : 87,120 = 87,120 : x
  2. Step 2: Convert to fraction form
    40,532/87,120 = 87,120/x
  3. Step 3: Cross multiply
    40,532x = 87,120 × 87,120
  4. Step 4: Simplify right side
    40,532x = 7,589,894,400
  5. Step 5: Solve for x
    x = 7,589,894,400/40,532
  6. Step 6: Final answer
    x = 187,256.84

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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.