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Finding the Third Proportional to 55,728.50 and 86,387.25

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Solution

The third proportional to 55,728.50 and 86,387.25 is: 133,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728.50 : 86,387.25 = 86,387.25 : x
  2. Step 2: Convert to fraction form
    55,728.50/86,387.25 = 86,387.25/x
  3. Step 3: Cross multiply
    55,728.50x = 86,387.25 × 86,387.25
  4. Step 4: Simplify right side
    55,728.50x = 7,462,756,962.56
  5. Step 5: Solve for x
    x = 7,462,756,962.56/55,728.50
  6. Step 6: Final answer
    x = 133,912.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.