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Finding the Third Proportional to 39,102 and 92,215

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Solution

The third proportional to 39,102 and 92,215 is: 217,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102 : 92,215 = 92,215 : x
  2. Step 2: Convert to fraction form
    39,102/92,215 = 92,215/x
  3. Step 3: Cross multiply
    39,102x = 92,215 × 92,215
  4. Step 4: Simplify right side
    39,102x = 8,503,606,225
  5. Step 5: Solve for x
    x = 8,503,606,225/39,102
  6. Step 6: Final answer
    x = 217,472.41

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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.