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Finding the Third Proportional to 41,813 and 101,129

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Solution

The third proportional to 41,813 and 101,129 is: 244,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,813 : 101,129 = 101,129 : x
  2. Step 2: Convert to fraction form
    41,813/101,129 = 101,129/x
  3. Step 3: Cross multiply
    41,813x = 101,129 × 101,129
  4. Step 4: Simplify right side
    41,813x = 10,227,074,641
  5. Step 5: Solve for x
    x = 10,227,074,641/41,813
  6. Step 6: Final answer
    x = 244,590.79

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.