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Finding the Third Proportional to 41,031 and 96,603

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Solution

The third proportional to 41,031 and 96,603 is: 227,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,031 : 96,603 = 96,603 : x
  2. Step 2: Convert to fraction form
    41,031/96,603 = 96,603/x
  3. Step 3: Cross multiply
    41,031x = 96,603 × 96,603
  4. Step 4: Simplify right side
    41,031x = 9,332,139,609
  5. Step 5: Solve for x
    x = 9,332,139,609/41,031
  6. Step 6: Final answer
    x = 227,441.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.