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Finding the Third Proportional to 68,089.50 and 158,224.50

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Solution

The third proportional to 68,089.50 and 158,224.50 is: 367,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,089.50 : 158,224.50 = 158,224.50 : x
  2. Step 2: Convert to fraction form
    68,089.50/158,224.50 = 158,224.50/x
  3. Step 3: Cross multiply
    68,089.50x = 158,224.50 × 158,224.50
  4. Step 4: Simplify right side
    68,089.50x = 25,034,992,400.25
  5. Step 5: Solve for x
    x = 25,034,992,400.25/68,089.50
  6. Step 6: Final answer
    x = 367,677.72

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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.