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Finding the Third Proportional to 31,305 and 67,918

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Solution

The third proportional to 31,305 and 67,918 is: 147,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305 : 67,918 = 67,918 : x
  2. Step 2: Convert to fraction form
    31,305/67,918 = 67,918/x
  3. Step 3: Cross multiply
    31,305x = 67,918 × 67,918
  4. Step 4: Simplify right side
    31,305x = 4,612,854,724
  5. Step 5: Solve for x
    x = 4,612,854,724/31,305
  6. Step 6: Final answer
    x = 147,352.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.