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Finding the Third Proportional to 80,932 and 94,420

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Solution

The third proportional to 80,932 and 94,420 is: 110,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,932 : 94,420 = 94,420 : x
  2. Step 2: Convert to fraction form
    80,932/94,420 = 94,420/x
  3. Step 3: Cross multiply
    80,932x = 94,420 × 94,420
  4. Step 4: Simplify right side
    80,932x = 8,915,136,400
  5. Step 5: Solve for x
    x = 8,915,136,400/80,932
  6. Step 6: Final answer
    x = 110,155.89

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.