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Finding the Third Proportional to 96,317 and 127,836

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Solution

The third proportional to 96,317 and 127,836 is: 169,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,317 : 127,836 = 127,836 : x
  2. Step 2: Convert to fraction form
    96,317/127,836 = 127,836/x
  3. Step 3: Cross multiply
    96,317x = 127,836 × 127,836
  4. Step 4: Simplify right side
    96,317x = 16,342,042,896
  5. Step 5: Solve for x
    x = 16,342,042,896/96,317
  6. Step 6: Final answer
    x = 169,669.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.