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Finding the Third Proportional to 82,963 and 127,592

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Solution

The third proportional to 82,963 and 127,592 is: 196,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963 : 127,592 = 127,592 : x
  2. Step 2: Convert to fraction form
    82,963/127,592 = 127,592/x
  3. Step 3: Cross multiply
    82,963x = 127,592 × 127,592
  4. Step 4: Simplify right side
    82,963x = 16,279,718,464
  5. Step 5: Solve for x
    x = 16,279,718,464/82,963
  6. Step 6: Final answer
    x = 196,228.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.