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Finding the Third Proportional to 67,367 and 98,087

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Solution

The third proportional to 67,367 and 98,087 is: 142,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,367 : 98,087 = 98,087 : x
  2. Step 2: Convert to fraction form
    67,367/98,087 = 98,087/x
  3. Step 3: Cross multiply
    67,367x = 98,087 × 98,087
  4. Step 4: Simplify right side
    67,367x = 9,621,059,569
  5. Step 5: Solve for x
    x = 9,621,059,569/67,367
  6. Step 6: Final answer
    x = 142,815.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.