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Finding the Third Proportional to 31,112.25 and 68,272.50

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Solution

The third proportional to 31,112.25 and 68,272.50 is: 149,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112.25 : 68,272.50 = 68,272.50 : x
  2. Step 2: Convert to fraction form
    31,112.25/68,272.50 = 68,272.50/x
  3. Step 3: Cross multiply
    31,112.25x = 68,272.50 × 68,272.50
  4. Step 4: Simplify right side
    31,112.25x = 4,661,134,256.25
  5. Step 5: Solve for x
    x = 4,661,134,256.25/31,112.25
  6. Step 6: Final answer
    x = 149,816.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.