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Finding the Third Proportional to 41,220 and 89,001

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Solution

The third proportional to 41,220 and 89,001 is: 192,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,220 : 89,001 = 89,001 : x
  2. Step 2: Convert to fraction form
    41,220/89,001 = 89,001/x
  3. Step 3: Cross multiply
    41,220x = 89,001 × 89,001
  4. Step 4: Simplify right side
    41,220x = 7,921,178,001
  5. Step 5: Solve for x
    x = 7,921,178,001/41,220
  6. Step 6: Final answer
    x = 192,168.32

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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.