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Finding the Third Proportional to 137,773.13 and 195,002.44

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Solution

The third proportional to 137,773.13 and 195,002.44 is: 276,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,773.13 : 195,002.44 = 195,002.44 : x
  2. Step 2: Convert to fraction form
    137,773.13/195,002.44 = 195,002.44/x
  3. Step 3: Cross multiply
    137,773.13x = 195,002.44 × 195,002.44
  4. Step 4: Simplify right side
    137,773.13x = 38,025,950,630.94
  5. Step 5: Solve for x
    x = 38,025,950,630.94/137,773.13
  6. Step 6: Final answer
    x = 276,004.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.