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Finding the Third Proportional to 68,156 and 146,680

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Solution

The third proportional to 68,156 and 146,680 is: 315,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156 : 146,680 = 146,680 : x
  2. Step 2: Convert to fraction form
    68,156/146,680 = 146,680/x
  3. Step 3: Cross multiply
    68,156x = 146,680 × 146,680
  4. Step 4: Simplify right side
    68,156x = 21,515,022,400
  5. Step 5: Solve for x
    x = 21,515,022,400/68,156
  6. Step 6: Final answer
    x = 315,673.20

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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.