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Finding the Third Proportional to 49,001 and 106,300

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Solution

The third proportional to 49,001 and 106,300 is: 230,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,001 : 106,300 = 106,300 : x
  2. Step 2: Convert to fraction form
    49,001/106,300 = 106,300/x
  3. Step 3: Cross multiply
    49,001x = 106,300 × 106,300
  4. Step 4: Simplify right side
    49,001x = 11,299,690,000
  5. Step 5: Solve for x
    x = 11,299,690,000/49,001
  6. Step 6: Final answer
    x = 230,601.21

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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.