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Finding the Third Proportional to 83,448 and 127,971

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Solution

The third proportional to 83,448 and 127,971 is: 196,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,448 : 127,971 = 127,971 : x
  2. Step 2: Convert to fraction form
    83,448/127,971 = 127,971/x
  3. Step 3: Cross multiply
    83,448x = 127,971 × 127,971
  4. Step 4: Simplify right side
    83,448x = 16,376,576,841
  5. Step 5: Solve for x
    x = 16,376,576,841/83,448
  6. Step 6: Final answer
    x = 196,248.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.