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Finding the Third Proportional to 31,774 and 68,778

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Solution

The third proportional to 31,774 and 68,778 is: 148,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774 : 68,778 = 68,778 : x
  2. Step 2: Convert to fraction form
    31,774/68,778 = 68,778/x
  3. Step 3: Cross multiply
    31,774x = 68,778 × 68,778
  4. Step 4: Simplify right side
    31,774x = 4,730,413,284
  5. Step 5: Solve for x
    x = 4,730,413,284/31,774
  6. Step 6: Final answer
    x = 148,876.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.