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Finding the Third Proportional to 31,339 and 68,879

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Solution

The third proportional to 31,339 and 68,879 is: 151,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339 : 68,879 = 68,879 : x
  2. Step 2: Convert to fraction form
    31,339/68,879 = 68,879/x
  3. Step 3: Cross multiply
    31,339x = 68,879 × 68,879
  4. Step 4: Simplify right side
    31,339x = 4,744,316,641
  5. Step 5: Solve for x
    x = 4,744,316,641/31,339
  6. Step 6: Final answer
    x = 151,386.98

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Why These Related Problems?

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