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Finding the Third Proportional to 41,360 and 89,718

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Solution

The third proportional to 41,360 and 89,718 is: 194,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,360 : 89,718 = 89,718 : x
  2. Step 2: Convert to fraction form
    41,360/89,718 = 89,718/x
  3. Step 3: Cross multiply
    41,360x = 89,718 × 89,718
  4. Step 4: Simplify right side
    41,360x = 8,049,319,524
  5. Step 5: Solve for x
    x = 8,049,319,524/41,360
  6. Step 6: Final answer
    x = 194,616.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.