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Finding the Third Proportional to 41,562 and 89,077

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Solution

The third proportional to 41,562 and 89,077 is: 190,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,562 : 89,077 = 89,077 : x
  2. Step 2: Convert to fraction form
    41,562/89,077 = 89,077/x
  3. Step 3: Cross multiply
    41,562x = 89,077 × 89,077
  4. Step 4: Simplify right side
    41,562x = 7,934,711,929
  5. Step 5: Solve for x
    x = 7,934,711,929/41,562
  6. Step 6: Final answer
    x = 190,912.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.