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Finding the Third Proportional to 41,769 and 87,642

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Solution

The third proportional to 41,769 and 87,642 is: 183,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,769 : 87,642 = 87,642 : x
  2. Step 2: Convert to fraction form
    41,769/87,642 = 87,642/x
  3. Step 3: Cross multiply
    41,769x = 87,642 × 87,642
  4. Step 4: Simplify right side
    41,769x = 7,681,120,164
  5. Step 5: Solve for x
    x = 7,681,120,164/41,769
  6. Step 6: Final answer
    x = 183,895.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.