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Finding the Third Proportional to 81,522 and 126,000

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Solution

The third proportional to 81,522 and 126,000 is: 194,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,522 : 126,000 = 126,000 : x
  2. Step 2: Convert to fraction form
    81,522/126,000 = 126,000/x
  3. Step 3: Cross multiply
    81,522x = 126,000 × 126,000
  4. Step 4: Simplify right side
    81,522x = 15,876,000,000
  5. Step 5: Solve for x
    x = 15,876,000,000/81,522
  6. Step 6: Final answer
    x = 194,744.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.