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Finding the Third Proportional to 134,138.25 and 181,523.25

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Solution

The third proportional to 134,138.25 and 181,523.25 is: 245,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138.25 : 181,523.25 = 181,523.25 : x
  2. Step 2: Convert to fraction form
    134,138.25/181,523.25 = 181,523.25/x
  3. Step 3: Cross multiply
    134,138.25x = 181,523.25 × 181,523.25
  4. Step 4: Simplify right side
    134,138.25x = 32,950,690,290.56
  5. Step 5: Solve for x
    x = 32,950,690,290.56/134,138.25
  6. Step 6: Final answer
    x = 245,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.