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Finding the Third Proportional to 124,227 and 197,397

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Solution

The third proportional to 124,227 and 197,397 is: 313,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,227 : 197,397 = 197,397 : x
  2. Step 2: Convert to fraction form
    124,227/197,397 = 197,397/x
  3. Step 3: Cross multiply
    124,227x = 197,397 × 197,397
  4. Step 4: Simplify right side
    124,227x = 38,965,575,609
  5. Step 5: Solve for x
    x = 38,965,575,609/124,227
  6. Step 6: Final answer
    x = 313,664.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.