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Finding the Third Proportional to 41,528 and 91,112

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Solution

The third proportional to 41,528 and 91,112 is: 199,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,528 : 91,112 = 91,112 : x
  2. Step 2: Convert to fraction form
    41,528/91,112 = 91,112/x
  3. Step 3: Cross multiply
    41,528x = 91,112 × 91,112
  4. Step 4: Simplify right side
    41,528x = 8,301,396,544
  5. Step 5: Solve for x
    x = 8,301,396,544/41,528
  6. Step 6: Final answer
    x = 199,898.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.