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Finding the Third Proportional to 96,324 and 127,811

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Solution

The third proportional to 96,324 and 127,811 is: 169,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,324 : 127,811 = 127,811 : x
  2. Step 2: Convert to fraction form
    96,324/127,811 = 127,811/x
  3. Step 3: Cross multiply
    96,324x = 127,811 × 127,811
  4. Step 4: Simplify right side
    96,324x = 16,335,651,721
  5. Step 5: Solve for x
    x = 16,335,651,721/96,324
  6. Step 6: Final answer
    x = 169,590.67

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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.