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Finding the Third Proportional to 39,158 and 83,856

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Solution

The third proportional to 39,158 and 83,856 is: 179,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,158 : 83,856 = 83,856 : x
  2. Step 2: Convert to fraction form
    39,158/83,856 = 83,856/x
  3. Step 3: Cross multiply
    39,158x = 83,856 × 83,856
  4. Step 4: Simplify right side
    39,158x = 7,031,828,736
  5. Step 5: Solve for x
    x = 7,031,828,736/39,158
  6. Step 6: Final answer
    x = 179,575.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.