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Finding the Third Proportional to 83,884 and 127,048

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Solution

The third proportional to 83,884 and 127,048 is: 192,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884 : 127,048 = 127,048 : x
  2. Step 2: Convert to fraction form
    83,884/127,048 = 127,048/x
  3. Step 3: Cross multiply
    83,884x = 127,048 × 127,048
  4. Step 4: Simplify right side
    83,884x = 16,141,194,304
  5. Step 5: Solve for x
    x = 16,141,194,304/83,884
  6. Step 6: Final answer
    x = 192,422.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.