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Finding the Third Proportional to 67,966.50 and 158,019.50

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Solution

The third proportional to 67,966.50 and 158,019.50 is: 367,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,966.50 : 158,019.50 = 158,019.50 : x
  2. Step 2: Convert to fraction form
    67,966.50/158,019.50 = 158,019.50/x
  3. Step 3: Cross multiply
    67,966.50x = 158,019.50 × 158,019.50
  4. Step 4: Simplify right side
    67,966.50x = 24,970,162,380.25
  5. Step 5: Solve for x
    x = 24,970,162,380.25/67,966.50
  6. Step 6: Final answer
    x = 367,389.26

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.