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Finding the Third Proportional to 41,864 and 91,000

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Solution

The third proportional to 41,864 and 91,000 is: 197,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,864 : 91,000 = 91,000 : x
  2. Step 2: Convert to fraction form
    41,864/91,000 = 91,000/x
  3. Step 3: Cross multiply
    41,864x = 91,000 × 91,000
  4. Step 4: Simplify right side
    41,864x = 8,281,000,000
  5. Step 5: Solve for x
    x = 8,281,000,000/41,864
  6. Step 6: Final answer
    x = 197,807.19

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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.