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Finding the Third Proportional to 54,577.50 and 81,528.75

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Solution

The third proportional to 54,577.50 and 81,528.75 is: 121,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577.50 : 81,528.75 = 81,528.75 : x
  2. Step 2: Convert to fraction form
    54,577.50/81,528.75 = 81,528.75/x
  3. Step 3: Cross multiply
    54,577.50x = 81,528.75 × 81,528.75
  4. Step 4: Simplify right side
    54,577.50x = 6,646,937,076.56
  5. Step 5: Solve for x
    x = 6,646,937,076.56/54,577.50
  6. Step 6: Final answer
    x = 121,788.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.