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Finding the Third Proportional to 52,589.25 and 114,815.25

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Solution

The third proportional to 52,589.25 and 114,815.25 is: 250,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,589.25 : 114,815.25 = 114,815.25 : x
  2. Step 2: Convert to fraction form
    52,589.25/114,815.25 = 114,815.25/x
  3. Step 3: Cross multiply
    52,589.25x = 114,815.25 × 114,815.25
  4. Step 4: Simplify right side
    52,589.25x = 13,182,541,632.56
  5. Step 5: Solve for x
    x = 13,182,541,632.56/52,589.25
  6. Step 6: Final answer
    x = 250,669.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.