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Finding the Third Proportional to 67,828 and 105,150

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Solution

The third proportional to 67,828 and 105,150 is: 163,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828 : 105,150 = 105,150 : x
  2. Step 2: Convert to fraction form
    67,828/105,150 = 105,150/x
  3. Step 3: Cross multiply
    67,828x = 105,150 × 105,150
  4. Step 4: Simplify right side
    67,828x = 11,056,522,500
  5. Step 5: Solve for x
    x = 11,056,522,500/67,828
  6. Step 6: Final answer
    x = 163,008.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.