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Finding the Third Proportional to 31,121 and 68,289

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Solution

The third proportional to 31,121 and 68,289 is: 149,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121 : 68,289 = 68,289 : x
  2. Step 2: Convert to fraction form
    31,121/68,289 = 68,289/x
  3. Step 3: Cross multiply
    31,121x = 68,289 × 68,289
  4. Step 4: Simplify right side
    31,121x = 4,663,387,521
  5. Step 5: Solve for x
    x = 4,663,387,521/31,121
  6. Step 6: Final answer
    x = 149,846.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.