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Finding the Third Proportional to 68,548 and 150,218

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Solution

The third proportional to 68,548 and 150,218 is: 329,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,548 : 150,218 = 150,218 : x
  2. Step 2: Convert to fraction form
    68,548/150,218 = 150,218/x
  3. Step 3: Cross multiply
    68,548x = 150,218 × 150,218
  4. Step 4: Simplify right side
    68,548x = 22,565,447,524
  5. Step 5: Solve for x
    x = 22,565,447,524/68,548
  6. Step 6: Final answer
    x = 329,191.92

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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.