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Finding the Third Proportional to 50,209.88 and 77,794.59

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Solution

The third proportional to 50,209.88 and 77,794.59 is: 120,534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.88 : 77,794.59 = 77,794.59 : x
  2. Step 2: Convert to fraction form
    50,209.88/77,794.59 = 77,794.59/x
  3. Step 3: Cross multiply
    50,209.88x = 77,794.59 × 77,794.59
  4. Step 4: Simplify right side
    50,209.88x = 6,051,998,816.73
  5. Step 5: Solve for x
    x = 6,051,998,816.73/50,209.88
  6. Step 6: Final answer
    x = 120,534.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.