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Finding the Third Proportional to 41,802 and 90,421

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Solution

The third proportional to 41,802 and 90,421 is: 195,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802 : 90,421 = 90,421 : x
  2. Step 2: Convert to fraction form
    41,802/90,421 = 90,421/x
  3. Step 3: Cross multiply
    41,802x = 90,421 × 90,421
  4. Step 4: Simplify right side
    41,802x = 8,175,957,241
  5. Step 5: Solve for x
    x = 8,175,957,241/41,802
  6. Step 6: Final answer
    x = 195,587.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.