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Finding the Third Proportional to 67,872.50 and 146,150

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Solution

The third proportional to 67,872.50 and 146,150 is: 314,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872.50 : 146,150 = 146,150 : x
  2. Step 2: Convert to fraction form
    67,872.50/146,150 = 146,150/x
  3. Step 3: Cross multiply
    67,872.50x = 146,150 × 146,150
  4. Step 4: Simplify right side
    67,872.50x = 21,359,822,500
  5. Step 5: Solve for x
    x = 21,359,822,500/67,872.50
  6. Step 6: Final answer
    x = 314,705.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.