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Finding the Third Proportional to 107,937.56 and 173,323.13

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Solution

The third proportional to 107,937.56 and 173,323.13 is: 278,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,937.56 : 173,323.13 = 173,323.13 : x
  2. Step 2: Convert to fraction form
    107,937.56/173,323.13 = 173,323.13/x
  3. Step 3: Cross multiply
    107,937.56x = 173,323.13 × 173,323.13
  4. Step 4: Simplify right side
    107,937.56x = 30,040,905,659.77
  5. Step 5: Solve for x
    x = 30,040,905,659.77/107,937.56
  6. Step 6: Final answer
    x = 278,317.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.