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Finding the Third Proportional to 50,132.25 and 107,031.38

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Solution

The third proportional to 50,132.25 and 107,031.38 is: 228,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,132.25 : 107,031.38 = 107,031.38 : x
  2. Step 2: Convert to fraction form
    50,132.25/107,031.38 = 107,031.38/x
  3. Step 3: Cross multiply
    50,132.25x = 107,031.38 × 107,031.38
  4. Step 4: Simplify right side
    50,132.25x = 11,455,715,234.39
  5. Step 5: Solve for x
    x = 11,455,715,234.39/50,132.25
  6. Step 6: Final answer
    x = 228,509.90

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.