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Finding the Third Proportional to 102,049 and 221,612

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Solution

The third proportional to 102,049 and 221,612 is: 481,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,049 : 221,612 = 221,612 : x
  2. Step 2: Convert to fraction form
    102,049/221,612 = 221,612/x
  3. Step 3: Cross multiply
    102,049x = 221,612 × 221,612
  4. Step 4: Simplify right side
    102,049x = 49,111,878,544
  5. Step 5: Solve for x
    x = 49,111,878,544/102,049
  6. Step 6: Final answer
    x = 481,257.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.