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Finding the Third Proportional to 31,212 and 68,853.38

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Solution

The third proportional to 31,212 and 68,853.38 is: 151,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212 : 68,853.38 = 68,853.38 : x
  2. Step 2: Convert to fraction form
    31,212/68,853.38 = 68,853.38/x
  3. Step 3: Cross multiply
    31,212x = 68,853.38 × 68,853.38
  4. Step 4: Simplify right side
    31,212x = 4,740,787,248.89
  5. Step 5: Solve for x
    x = 4,740,787,248.89/31,212
  6. Step 6: Final answer
    x = 151,889.89

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.