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Finding the Third Proportional to 54,612.56 and 82,764.56

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Solution

The third proportional to 54,612.56 and 82,764.56 is: 125,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,612.56 : 82,764.56 = 82,764.56 : x
  2. Step 2: Convert to fraction form
    54,612.56/82,764.56 = 82,764.56/x
  3. Step 3: Cross multiply
    54,612.56x = 82,764.56 × 82,764.56
  4. Step 4: Simplify right side
    54,612.56x = 6,849,972,805.82
  5. Step 5: Solve for x
    x = 6,849,972,805.82/54,612.56
  6. Step 6: Final answer
    x = 125,428.52

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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.