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Finding the Third Proportional to 39,034 and 92,115

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Solution

The third proportional to 39,034 and 92,115 is: 217,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,034 : 92,115 = 92,115 : x
  2. Step 2: Convert to fraction form
    39,034/92,115 = 92,115/x
  3. Step 3: Cross multiply
    39,034x = 92,115 × 92,115
  4. Step 4: Simplify right side
    39,034x = 8,485,173,225
  5. Step 5: Solve for x
    x = 8,485,173,225/39,034
  6. Step 6: Final answer
    x = 217,379.03

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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.