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Finding the Third Proportional to 41,697 and 88,863

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Solution

The third proportional to 41,697 and 88,863 is: 189,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,697 : 88,863 = 88,863 : x
  2. Step 2: Convert to fraction form
    41,697/88,863 = 88,863/x
  3. Step 3: Cross multiply
    41,697x = 88,863 × 88,863
  4. Step 4: Simplify right side
    41,697x = 7,896,632,769
  5. Step 5: Solve for x
    x = 7,896,632,769/41,697
  6. Step 6: Final answer
    x = 189,381.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.