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Finding the Third Proportional to 49,243 and 107,397

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Solution

The third proportional to 49,243 and 107,397 is: 234,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,243 : 107,397 = 107,397 : x
  2. Step 2: Convert to fraction form
    49,243/107,397 = 107,397/x
  3. Step 3: Cross multiply
    49,243x = 107,397 × 107,397
  4. Step 4: Simplify right side
    49,243x = 11,534,115,609
  5. Step 5: Solve for x
    x = 11,534,115,609/49,243
  6. Step 6: Final answer
    x = 234,228.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.