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Finding the Third Proportional to 83,963 and 127,949

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Solution

The third proportional to 83,963 and 127,949 is: 194,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,963 : 127,949 = 127,949 : x
  2. Step 2: Convert to fraction form
    83,963/127,949 = 127,949/x
  3. Step 3: Cross multiply
    83,963x = 127,949 × 127,949
  4. Step 4: Simplify right side
    83,963x = 16,370,946,601
  5. Step 5: Solve for x
    x = 16,370,946,601/83,963
  6. Step 6: Final answer
    x = 194,978.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.