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Finding the Third Proportional to 96,320 and 127,806

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Solution

The third proportional to 96,320 and 127,806 is: 169,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,320 : 127,806 = 127,806 : x
  2. Step 2: Convert to fraction form
    96,320/127,806 = 127,806/x
  3. Step 3: Cross multiply
    96,320x = 127,806 × 127,806
  4. Step 4: Simplify right side
    96,320x = 16,334,373,636
  5. Step 5: Solve for x
    x = 16,334,373,636/96,320
  6. Step 6: Final answer
    x = 169,584.44

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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.