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Finding the Third Proportional to 96,336 and 127,856

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Solution

The third proportional to 96,336 and 127,856 is: 169,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,336 : 127,856 = 127,856 : x
  2. Step 2: Convert to fraction form
    96,336/127,856 = 127,856/x
  3. Step 3: Cross multiply
    96,336x = 127,856 × 127,856
  4. Step 4: Simplify right side
    96,336x = 16,347,156,736
  5. Step 5: Solve for x
    x = 16,347,156,736/96,336
  6. Step 6: Final answer
    x = 169,688.97

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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.