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Finding the Third Proportional to 102,604 and 154,204

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Solution

The third proportional to 102,604 and 154,204 is: 231,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604 : 154,204 = 154,204 : x
  2. Step 2: Convert to fraction form
    102,604/154,204 = 154,204/x
  3. Step 3: Cross multiply
    102,604x = 154,204 × 154,204
  4. Step 4: Simplify right side
    102,604x = 23,778,873,616
  5. Step 5: Solve for x
    x = 23,778,873,616/102,604
  6. Step 6: Final answer
    x = 231,753.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.