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Finding the Third Proportional to 71,500 and 107,112

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Solution

The third proportional to 71,500 and 107,112 is: 160,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,500 : 107,112 = 107,112 : x
  2. Step 2: Convert to fraction form
    71,500/107,112 = 107,112/x
  3. Step 3: Cross multiply
    71,500x = 107,112 × 107,112
  4. Step 4: Simplify right side
    71,500x = 11,472,980,544
  5. Step 5: Solve for x
    x = 11,472,980,544/71,500
  6. Step 6: Final answer
    x = 160,461.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.