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Finding the Third Proportional to 68,856 and 151,680

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Solution

The third proportional to 68,856 and 151,680 is: 334,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,856 : 151,680 = 151,680 : x
  2. Step 2: Convert to fraction form
    68,856/151,680 = 151,680/x
  3. Step 3: Cross multiply
    68,856x = 151,680 × 151,680
  4. Step 4: Simplify right side
    68,856x = 23,006,822,400
  5. Step 5: Solve for x
    x = 23,006,822,400/68,856
  6. Step 6: Final answer
    x = 334,129.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.