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Finding the Third Proportional to 41,416 and 88,664

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Solution

The third proportional to 41,416 and 88,664 is: 189,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416 : 88,664 = 88,664 : x
  2. Step 2: Convert to fraction form
    41,416/88,664 = 88,664/x
  3. Step 3: Cross multiply
    41,416x = 88,664 × 88,664
  4. Step 4: Simplify right side
    41,416x = 7,861,304,896
  5. Step 5: Solve for x
    x = 7,861,304,896/41,416
  6. Step 6: Final answer
    x = 189,813.23

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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.