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Finding the Third Proportional to 54,122.50 and 125,296

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Solution

The third proportional to 54,122.50 and 125,296 is: 290,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,122.50 : 125,296 = 125,296 : x
  2. Step 2: Convert to fraction form
    54,122.50/125,296 = 125,296/x
  3. Step 3: Cross multiply
    54,122.50x = 125,296 × 125,296
  4. Step 4: Simplify right side
    54,122.50x = 15,699,087,616
  5. Step 5: Solve for x
    x = 15,699,087,616/54,122.50
  6. Step 6: Final answer
    x = 290,065.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.