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Finding the Third Proportional to 41,218 and 88,267

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Solution

The third proportional to 41,218 and 88,267 is: 189,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,218 : 88,267 = 88,267 : x
  2. Step 2: Convert to fraction form
    41,218/88,267 = 88,267/x
  3. Step 3: Cross multiply
    41,218x = 88,267 × 88,267
  4. Step 4: Simplify right side
    41,218x = 7,791,063,289
  5. Step 5: Solve for x
    x = 7,791,063,289/41,218
  6. Step 6: Final answer
    x = 189,020.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.