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Finding the Third Proportional to 41,132 and 88,500

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Solution

The third proportional to 41,132 and 88,500 is: 190,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132 : 88,500 = 88,500 : x
  2. Step 2: Convert to fraction form
    41,132/88,500 = 88,500/x
  3. Step 3: Cross multiply
    41,132x = 88,500 × 88,500
  4. Step 4: Simplify right side
    41,132x = 7,832,250,000
  5. Step 5: Solve for x
    x = 7,832,250,000/41,132
  6. Step 6: Final answer
    x = 190,417.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.