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Finding the Third Proportional to 50,137.59 and 75,217.22

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Solution

The third proportional to 50,137.59 and 75,217.22 is: 112,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,137.59 : 75,217.22 = 75,217.22 : x
  2. Step 2: Convert to fraction form
    50,137.59/75,217.22 = 75,217.22/x
  3. Step 3: Cross multiply
    50,137.59x = 75,217.22 × 75,217.22
  4. Step 4: Simplify right side
    50,137.59x = 5,657,629,996.49
  5. Step 5: Solve for x
    x = 5,657,629,996.49/50,137.59
  6. Step 6: Final answer
    x = 112,842.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.