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Finding the Third Proportional to 39,339 and 85,241

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Solution

The third proportional to 39,339 and 85,241 is: 184,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,339 : 85,241 = 85,241 : x
  2. Step 2: Convert to fraction form
    39,339/85,241 = 85,241/x
  3. Step 3: Cross multiply
    39,339x = 85,241 × 85,241
  4. Step 4: Simplify right side
    39,339x = 7,266,028,081
  5. Step 5: Solve for x
    x = 7,266,028,081/39,339
  6. Step 6: Final answer
    x = 184,702.92

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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.