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Finding the Third Proportional to 100,241 and 132,500

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Solution

The third proportional to 100,241 and 132,500 is: 175,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,241 : 132,500 = 132,500 : x
  2. Step 2: Convert to fraction form
    100,241/132,500 = 132,500/x
  3. Step 3: Cross multiply
    100,241x = 132,500 × 132,500
  4. Step 4: Simplify right side
    100,241x = 17,556,250,000
  5. Step 5: Solve for x
    x = 17,556,250,000/100,241
  6. Step 6: Final answer
    x = 175,140.41

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.