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Finding the Third Proportional to 98,794 and 153,204

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Solution

The third proportional to 98,794 and 153,204 is: 237,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,794 : 153,204 = 153,204 : x
  2. Step 2: Convert to fraction form
    98,794/153,204 = 153,204/x
  3. Step 3: Cross multiply
    98,794x = 153,204 × 153,204
  4. Step 4: Simplify right side
    98,794x = 23,471,465,616
  5. Step 5: Solve for x
    x = 23,471,465,616/98,794
  6. Step 6: Final answer
    x = 237,579.87

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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.