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Finding the Third Proportional to 68,542 and 150,206

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Solution

The third proportional to 68,542 and 150,206 is: 329,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542 : 150,206 = 150,206 : x
  2. Step 2: Convert to fraction form
    68,542/150,206 = 150,206/x
  3. Step 3: Cross multiply
    68,542x = 150,206 × 150,206
  4. Step 4: Simplify right side
    68,542x = 22,561,842,436
  5. Step 5: Solve for x
    x = 22,561,842,436/68,542
  6. Step 6: Final answer
    x = 329,168.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.