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Finding the Third Proportional to 41,632 and 91,748

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Solution

The third proportional to 41,632 and 91,748 is: 202,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,632 : 91,748 = 91,748 : x
  2. Step 2: Convert to fraction form
    41,632/91,748 = 91,748/x
  3. Step 3: Cross multiply
    41,632x = 91,748 × 91,748
  4. Step 4: Simplify right side
    41,632x = 8,417,695,504
  5. Step 5: Solve for x
    x = 8,417,695,504/41,632
  6. Step 6: Final answer
    x = 202,192.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.