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Finding the Third Proportional to 41,132 and 85,186

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Solution

The third proportional to 41,132 and 85,186 is: 176,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132 : 85,186 = 85,186 : x
  2. Step 2: Convert to fraction form
    41,132/85,186 = 85,186/x
  3. Step 3: Cross multiply
    41,132x = 85,186 × 85,186
  4. Step 4: Simplify right side
    41,132x = 7,256,654,596
  5. Step 5: Solve for x
    x = 7,256,654,596/41,132
  6. Step 6: Final answer
    x = 176,423.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.