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Finding the Third Proportional to 68,260 and 158,122

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Solution

The third proportional to 68,260 and 158,122 is: 366,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,260 : 158,122 = 158,122 : x
  2. Step 2: Convert to fraction form
    68,260/158,122 = 158,122/x
  3. Step 3: Cross multiply
    68,260x = 158,122 × 158,122
  4. Step 4: Simplify right side
    68,260x = 25,002,566,884
  5. Step 5: Solve for x
    x = 25,002,566,884/68,260
  6. Step 6: Final answer
    x = 366,284.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.