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Finding the Third Proportional to 41,423 and 88,651

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Solution

The third proportional to 41,423 and 88,651 is: 189,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,423 : 88,651 = 88,651 : x
  2. Step 2: Convert to fraction form
    41,423/88,651 = 88,651/x
  3. Step 3: Cross multiply
    41,423x = 88,651 × 88,651
  4. Step 4: Simplify right side
    41,423x = 7,858,999,801
  5. Step 5: Solve for x
    x = 7,858,999,801/41,423
  6. Step 6: Final answer
    x = 189,725.51

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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.