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Finding the Third Proportional to 31,244 and 68,034

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Solution

The third proportional to 31,244 and 68,034 is: 148,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244 : 68,034 = 68,034 : x
  2. Step 2: Convert to fraction form
    31,244/68,034 = 68,034/x
  3. Step 3: Cross multiply
    31,244x = 68,034 × 68,034
  4. Step 4: Simplify right side
    31,244x = 4,628,625,156
  5. Step 5: Solve for x
    x = 4,628,625,156/31,244
  6. Step 6: Final answer
    x = 148,144.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.