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Finding the Third Proportional to 54,015.56 and 81,770.06

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Solution

The third proportional to 54,015.56 and 81,770.06 is: 123,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,015.56 : 81,770.06 = 81,770.06 : x
  2. Step 2: Convert to fraction form
    54,015.56/81,770.06 = 81,770.06/x
  3. Step 3: Cross multiply
    54,015.56x = 81,770.06 × 81,770.06
  4. Step 4: Simplify right side
    54,015.56x = 6,686,343,121.25
  5. Step 5: Solve for x
    x = 6,686,343,121.25/54,015.56
  6. Step 6: Final answer
    x = 123,785.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.