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Finding the Third Proportional to 79,848 and 125,257

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Solution

The third proportional to 79,848 and 125,257 is: 196,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,848 : 125,257 = 125,257 : x
  2. Step 2: Convert to fraction form
    79,848/125,257 = 125,257/x
  3. Step 3: Cross multiply
    79,848x = 125,257 × 125,257
  4. Step 4: Simplify right side
    79,848x = 15,689,316,049
  5. Step 5: Solve for x
    x = 15,689,316,049/79,848
  6. Step 6: Final answer
    x = 196,489.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.