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Finding the Third Proportional to 95,998 and 127,384

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Solution

The third proportional to 95,998 and 127,384 is: 169,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,998 : 127,384 = 127,384 : x
  2. Step 2: Convert to fraction form
    95,998/127,384 = 127,384/x
  3. Step 3: Cross multiply
    95,998x = 127,384 × 127,384
  4. Step 4: Simplify right side
    95,998x = 16,226,683,456
  5. Step 5: Solve for x
    x = 16,226,683,456/95,998
  6. Step 6: Final answer
    x = 169,031.47

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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.