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Finding the Third Proportional to 126,882 and 197,586

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Solution

The third proportional to 126,882 and 197,586 is: 307,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,882 : 197,586 = 197,586 : x
  2. Step 2: Convert to fraction form
    126,882/197,586 = 197,586/x
  3. Step 3: Cross multiply
    126,882x = 197,586 × 197,586
  4. Step 4: Simplify right side
    126,882x = 39,040,227,396
  5. Step 5: Solve for x
    x = 39,040,227,396/126,882
  6. Step 6: Final answer
    x = 307,689.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.