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Finding the Third Proportional to 29,226 and 68,441

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Solution

The third proportional to 29,226 and 68,441 is: 160,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,226 : 68,441 = 68,441 : x
  2. Step 2: Convert to fraction form
    29,226/68,441 = 68,441/x
  3. Step 3: Cross multiply
    29,226x = 68,441 × 68,441
  4. Step 4: Simplify right side
    29,226x = 4,684,170,481
  5. Step 5: Solve for x
    x = 4,684,170,481/29,226
  6. Step 6: Final answer
    x = 160,274.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.