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Finding the Third Proportional to 39,218 and 92,566

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Solution

The third proportional to 39,218 and 92,566 is: 218,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,218 : 92,566 = 92,566 : x
  2. Step 2: Convert to fraction form
    39,218/92,566 = 92,566/x
  3. Step 3: Cross multiply
    39,218x = 92,566 × 92,566
  4. Step 4: Simplify right side
    39,218x = 8,568,464,356
  5. Step 5: Solve for x
    x = 8,568,464,356/39,218
  6. Step 6: Final answer
    x = 218,482.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.