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Finding the Third Proportional to 41,658 and 90,703

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Solution

The third proportional to 41,658 and 90,703 is: 197,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658 : 90,703 = 90,703 : x
  2. Step 2: Convert to fraction form
    41,658/90,703 = 90,703/x
  3. Step 3: Cross multiply
    41,658x = 90,703 × 90,703
  4. Step 4: Simplify right side
    41,658x = 8,227,034,209
  5. Step 5: Solve for x
    x = 8,227,034,209/41,658
  6. Step 6: Final answer
    x = 197,489.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.