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Finding the Third Proportional to 44,532 and 95,200

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Solution

The third proportional to 44,532 and 95,200 is: 203,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,532 : 95,200 = 95,200 : x
  2. Step 2: Convert to fraction form
    44,532/95,200 = 95,200/x
  3. Step 3: Cross multiply
    44,532x = 95,200 × 95,200
  4. Step 4: Simplify right side
    44,532x = 9,063,040,000
  5. Step 5: Solve for x
    x = 9,063,040,000/44,532
  6. Step 6: Final answer
    x = 203,517.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.