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Finding the Third Proportional to 68,025.50 and 158,850

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Solution

The third proportional to 68,025.50 and 158,850 is: 370,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,025.50 : 158,850 = 158,850 : x
  2. Step 2: Convert to fraction form
    68,025.50/158,850 = 158,850/x
  3. Step 3: Cross multiply
    68,025.50x = 158,850 × 158,850
  4. Step 4: Simplify right side
    68,025.50x = 25,233,322,500
  5. Step 5: Solve for x
    x = 25,233,322,500/68,025.50
  6. Step 6: Final answer
    x = 370,939.17

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.