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Finding the Third Proportional to 50,550 and 77,933.25

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Solution

The third proportional to 50,550 and 77,933.25 is: 120,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,550 : 77,933.25 = 77,933.25 : x
  2. Step 2: Convert to fraction form
    50,550/77,933.25 = 77,933.25/x
  3. Step 3: Cross multiply
    50,550x = 77,933.25 × 77,933.25
  4. Step 4: Simplify right side
    50,550x = 6,073,591,455.56
  5. Step 5: Solve for x
    x = 6,073,591,455.56/50,550
  6. Step 6: Final answer
    x = 120,150.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.