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Finding the Third Proportional to 68,828 and 96,928

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Solution

The third proportional to 68,828 and 96,928 is: 136,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,828 : 96,928 = 96,928 : x
  2. Step 2: Convert to fraction form
    68,828/96,928 = 96,928/x
  3. Step 3: Cross multiply
    68,828x = 96,928 × 96,928
  4. Step 4: Simplify right side
    68,828x = 9,395,037,184
  5. Step 5: Solve for x
    x = 9,395,037,184/68,828
  6. Step 6: Final answer
    x = 136,500.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.