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Finding the Third Proportional to 41,202 and 88,632

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Solution

The third proportional to 41,202 and 88,632 is: 190,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202 : 88,632 = 88,632 : x
  2. Step 2: Convert to fraction form
    41,202/88,632 = 88,632/x
  3. Step 3: Cross multiply
    41,202x = 88,632 × 88,632
  4. Step 4: Simplify right side
    41,202x = 7,855,631,424
  5. Step 5: Solve for x
    x = 7,855,631,424/41,202
  6. Step 6: Final answer
    x = 190,661.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.