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Finding the Third Proportional to 68,828 and 101,962

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Solution

The third proportional to 68,828 and 101,962 is: 151,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,828 : 101,962 = 101,962 : x
  2. Step 2: Convert to fraction form
    68,828/101,962 = 101,962/x
  3. Step 3: Cross multiply
    68,828x = 101,962 × 101,962
  4. Step 4: Simplify right side
    68,828x = 10,396,249,444
  5. Step 5: Solve for x
    x = 10,396,249,444/68,828
  6. Step 6: Final answer
    x = 151,046.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.