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Finding the Third Proportional to 39,264 and 85,218

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Solution

The third proportional to 39,264 and 85,218 is: 184,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,264 : 85,218 = 85,218 : x
  2. Step 2: Convert to fraction form
    39,264/85,218 = 85,218/x
  3. Step 3: Cross multiply
    39,264x = 85,218 × 85,218
  4. Step 4: Simplify right side
    39,264x = 7,262,107,524
  5. Step 5: Solve for x
    x = 7,262,107,524/39,264
  6. Step 6: Final answer
    x = 184,955.88

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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.