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Finding the Third Proportional to 39,197 and 92,514

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Solution

The third proportional to 39,197 and 92,514 is: 218,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197 : 92,514 = 92,514 : x
  2. Step 2: Convert to fraction form
    39,197/92,514 = 92,514/x
  3. Step 3: Cross multiply
    39,197x = 92,514 × 92,514
  4. Step 4: Simplify right side
    39,197x = 8,558,840,196
  5. Step 5: Solve for x
    x = 8,558,840,196/39,197
  6. Step 6: Final answer
    x = 218,354.47

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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.