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Finding the Third Proportional to 54,769.50 and 88,178.25

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Solution

The third proportional to 54,769.50 and 88,178.25 is: 141,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,769.50 : 88,178.25 = 88,178.25 : x
  2. Step 2: Convert to fraction form
    54,769.50/88,178.25 = 88,178.25/x
  3. Step 3: Cross multiply
    54,769.50x = 88,178.25 × 88,178.25
  4. Step 4: Simplify right side
    54,769.50x = 7,775,403,773.06
  5. Step 5: Solve for x
    x = 7,775,403,773.06/54,769.50
  6. Step 6: Final answer
    x = 141,965.94

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.