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Finding the Third Proportional to 54,051.19 and 83,979.56

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Solution

The third proportional to 54,051.19 and 83,979.56 is: 130,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,051.19 : 83,979.56 = 83,979.56 : x
  2. Step 2: Convert to fraction form
    54,051.19/83,979.56 = 83,979.56/x
  3. Step 3: Cross multiply
    54,051.19x = 83,979.56 × 83,979.56
  4. Step 4: Simplify right side
    54,051.19x = 7,052,566,917.69
  5. Step 5: Solve for x
    x = 7,052,566,917.69/54,051.19
  6. Step 6: Final answer
    x = 130,479.41

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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.