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Finding the Third Proportional to 54,615.56 and 82,769.06

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Solution

The third proportional to 54,615.56 and 82,769.06 is: 125,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615.56 : 82,769.06 = 82,769.06 : x
  2. Step 2: Convert to fraction form
    54,615.56/82,769.06 = 82,769.06/x
  3. Step 3: Cross multiply
    54,615.56x = 82,769.06 × 82,769.06
  4. Step 4: Simplify right side
    54,615.56x = 6,850,717,707.13
  5. Step 5: Solve for x
    x = 6,850,717,707.13/54,615.56
  6. Step 6: Final answer
    x = 125,435.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.