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Finding the Third Proportional to 67,069.50 and 142,134

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Solution

The third proportional to 67,069.50 and 142,134 is: 301,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,069.50 : 142,134 = 142,134 : x
  2. Step 2: Convert to fraction form
    67,069.50/142,134 = 142,134/x
  3. Step 3: Cross multiply
    67,069.50x = 142,134 × 142,134
  4. Step 4: Simplify right side
    67,069.50x = 20,202,073,956
  5. Step 5: Solve for x
    x = 20,202,073,956/67,069.50
  6. Step 6: Final answer
    x = 301,211.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.