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Finding the Third Proportional to 54,410.06 and 83,178.56

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Solution

The third proportional to 54,410.06 and 83,178.56 is: 127,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410.06 : 83,178.56 = 83,178.56 : x
  2. Step 2: Convert to fraction form
    54,410.06/83,178.56 = 83,178.56/x
  3. Step 3: Cross multiply
    54,410.06x = 83,178.56 × 83,178.56
  4. Step 4: Simplify right side
    54,410.06x = 6,918,673,259.57
  5. Step 5: Solve for x
    x = 6,918,673,259.57/54,410.06
  6. Step 6: Final answer
    x = 127,157.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.