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Finding the Third Proportional to 31,302 and 67,911.75

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Solution

The third proportional to 31,302 and 67,911.75 is: 147,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302 : 67,911.75 = 67,911.75 : x
  2. Step 2: Convert to fraction form
    31,302/67,911.75 = 67,911.75/x
  3. Step 3: Cross multiply
    31,302x = 67,911.75 × 67,911.75
  4. Step 4: Simplify right side
    31,302x = 4,612,005,788.06
  5. Step 5: Solve for x
    x = 4,612,005,788.06/31,302
  6. Step 6: Final answer
    x = 147,339.01

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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.