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Finding the Third Proportional to 90,159.75 and 194,771.25

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Solution

The third proportional to 90,159.75 and 194,771.25 is: 420,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,159.75 : 194,771.25 = 194,771.25 : x
  2. Step 2: Convert to fraction form
    90,159.75/194,771.25 = 194,771.25/x
  3. Step 3: Cross multiply
    90,159.75x = 194,771.25 × 194,771.25
  4. Step 4: Simplify right side
    90,159.75x = 37,935,839,826.56
  5. Step 5: Solve for x
    x = 37,935,839,826.56/90,159.75
  6. Step 6: Final answer
    x = 420,762.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.