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Finding the Third Proportional to 39,001 and 84,134

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Solution

The third proportional to 39,001 and 84,134 is: 181,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001 : 84,134 = 84,134 : x
  2. Step 2: Convert to fraction form
    39,001/84,134 = 84,134/x
  3. Step 3: Cross multiply
    39,001x = 84,134 × 84,134
  4. Step 4: Simplify right side
    39,001x = 7,078,529,956
  5. Step 5: Solve for x
    x = 7,078,529,956/39,001
  6. Step 6: Final answer
    x = 181,496.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.