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Finding the Third Proportional to 41,107 and 88,453

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Solution

The third proportional to 41,107 and 88,453 is: 190,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,107 : 88,453 = 88,453 : x
  2. Step 2: Convert to fraction form
    41,107/88,453 = 88,453/x
  3. Step 3: Cross multiply
    41,107x = 88,453 × 88,453
  4. Step 4: Simplify right side
    41,107x = 7,823,933,209
  5. Step 5: Solve for x
    x = 7,823,933,209/41,107
  6. Step 6: Final answer
    x = 190,330.92

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Why These Related Problems?

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