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Finding the Third Proportional to 29,052 and 67,257

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Solution

The third proportional to 29,052 and 67,257 is: 155,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052 : 67,257 = 67,257 : x
  2. Step 2: Convert to fraction form
    29,052/67,257 = 67,257/x
  3. Step 3: Cross multiply
    29,052x = 67,257 × 67,257
  4. Step 4: Simplify right side
    29,052x = 4,523,504,049
  5. Step 5: Solve for x
    x = 4,523,504,049/29,052
  6. Step 6: Final answer
    x = 155,703.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.