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Finding the Third Proportional to 31,210 and 68,251

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Solution

The third proportional to 31,210 and 68,251 is: 149,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210 : 68,251 = 68,251 : x
  2. Step 2: Convert to fraction form
    31,210/68,251 = 68,251/x
  3. Step 3: Cross multiply
    31,210x = 68,251 × 68,251
  4. Step 4: Simplify right side
    31,210x = 4,658,199,001
  5. Step 5: Solve for x
    x = 4,658,199,001/31,210
  6. Step 6: Final answer
    x = 149,253.41

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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.