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Finding the Third Proportional to 67,117.50 and 144,744.75

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Solution

The third proportional to 67,117.50 and 144,744.75 is: 312,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,117.50 : 144,744.75 = 144,744.75 : x
  2. Step 2: Convert to fraction form
    67,117.50/144,744.75 = 144,744.75/x
  3. Step 3: Cross multiply
    67,117.50x = 144,744.75 × 144,744.75
  4. Step 4: Simplify right side
    67,117.50x = 20,951,042,652.56
  5. Step 5: Solve for x
    x = 20,951,042,652.56/67,117.50
  6. Step 6: Final answer
    x = 312,154.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.