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Finding the Third Proportional to 38,164 and 83,556

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Solution

The third proportional to 38,164 and 83,556 is: 182,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164 : 83,556 = 83,556 : x
  2. Step 2: Convert to fraction form
    38,164/83,556 = 83,556/x
  3. Step 3: Cross multiply
    38,164x = 83,556 × 83,556
  4. Step 4: Simplify right side
    38,164x = 6,981,605,136
  5. Step 5: Solve for x
    x = 6,981,605,136/38,164
  6. Step 6: Final answer
    x = 182,936.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.