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Finding the Third Proportional to 71,532 and 97,150

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Solution

The third proportional to 71,532 and 97,150 is: 131,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532 : 97,150 = 97,150 : x
  2. Step 2: Convert to fraction form
    71,532/97,150 = 97,150/x
  3. Step 3: Cross multiply
    71,532x = 97,150 × 97,150
  4. Step 4: Simplify right side
    71,532x = 9,438,122,500
  5. Step 5: Solve for x
    x = 9,438,122,500/71,532
  6. Step 6: Final answer
    x = 131,942.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.