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Finding the Third Proportional to 52,675.31 and 113,769.56

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Solution

The third proportional to 52,675.31 and 113,769.56 is: 245,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.31 : 113,769.56 = 113,769.56 : x
  2. Step 2: Convert to fraction form
    52,675.31/113,769.56 = 113,769.56/x
  3. Step 3: Cross multiply
    52,675.31x = 113,769.56 × 113,769.56
  4. Step 4: Simplify right side
    52,675.31x = 12,943,513,351.44
  5. Step 5: Solve for x
    x = 12,943,513,351.44/52,675.31
  6. Step 6: Final answer
    x = 245,722.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.