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Finding the Third Proportional to 31,131.94 and 68,805.56

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Solution

The third proportional to 31,131.94 and 68,805.56 is: 152,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131.94 : 68,805.56 = 68,805.56 : x
  2. Step 2: Convert to fraction form
    31,131.94/68,805.56 = 68,805.56/x
  3. Step 3: Cross multiply
    31,131.94x = 68,805.56 × 68,805.56
  4. Step 4: Simplify right side
    31,131.94x = 4,734,205,430.94
  5. Step 5: Solve for x
    x = 4,734,205,430.94/31,131.94
  6. Step 6: Final answer
    x = 152,069.09

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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.