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Finding the Third Proportional to 31,191 and 68,214

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Solution

The third proportional to 31,191 and 68,214 is: 149,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191 : 68,214 = 68,214 : x
  2. Step 2: Convert to fraction form
    31,191/68,214 = 68,214/x
  3. Step 3: Cross multiply
    31,191x = 68,214 × 68,214
  4. Step 4: Simplify right side
    31,191x = 4,653,149,796
  5. Step 5: Solve for x
    x = 4,653,149,796/31,191
  6. Step 6: Final answer
    x = 149,182.45

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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.