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Finding the Third Proportional to 50,107.50 and 77,571

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Solution

The third proportional to 50,107.50 and 77,571 is: 120,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.50 : 77,571 = 77,571 : x
  2. Step 2: Convert to fraction form
    50,107.50/77,571 = 77,571/x
  3. Step 3: Cross multiply
    50,107.50x = 77,571 × 77,571
  4. Step 4: Simplify right side
    50,107.50x = 6,017,260,041
  5. Step 5: Solve for x
    x = 6,017,260,041/50,107.50
  6. Step 6: Final answer
    x = 120,087.01

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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.