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Finding the Third Proportional to 39,182 and 83,356

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Solution

The third proportional to 39,182 and 83,356 is: 177,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182 : 83,356 = 83,356 : x
  2. Step 2: Convert to fraction form
    39,182/83,356 = 83,356/x
  3. Step 3: Cross multiply
    39,182x = 83,356 × 83,356
  4. Step 4: Simplify right side
    39,182x = 6,948,222,736
  5. Step 5: Solve for x
    x = 6,948,222,736/39,182
  6. Step 6: Final answer
    x = 177,332.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.