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Finding the Third Proportional to 41,202 and 90,423

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Solution

The third proportional to 41,202 and 90,423 is: 198,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202 : 90,423 = 90,423 : x
  2. Step 2: Convert to fraction form
    41,202/90,423 = 90,423/x
  3. Step 3: Cross multiply
    41,202x = 90,423 × 90,423
  4. Step 4: Simplify right side
    41,202x = 8,176,318,929
  5. Step 5: Solve for x
    x = 8,176,318,929/41,202
  6. Step 6: Final answer
    x = 198,444.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.