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Finding the Third Proportional to 50,859 and 121,621.50

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Solution

The third proportional to 50,859 and 121,621.50 is: 290,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,859 : 121,621.50 = 121,621.50 : x
  2. Step 2: Convert to fraction form
    50,859/121,621.50 = 121,621.50/x
  3. Step 3: Cross multiply
    50,859x = 121,621.50 × 121,621.50
  4. Step 4: Simplify right side
    50,859x = 14,791,789,262.25
  5. Step 5: Solve for x
    x = 14,791,789,262.25/50,859
  6. Step 6: Final answer
    x = 290,839.17

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.