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Finding the Third Proportional to 41,727 and 90,011

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Solution

The third proportional to 41,727 and 90,011 is: 194,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,727 : 90,011 = 90,011 : x
  2. Step 2: Convert to fraction form
    41,727/90,011 = 90,011/x
  3. Step 3: Cross multiply
    41,727x = 90,011 × 90,011
  4. Step 4: Simplify right side
    41,727x = 8,101,980,121
  5. Step 5: Solve for x
    x = 8,101,980,121/41,727
  6. Step 6: Final answer
    x = 194,166.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.