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Finding the Third Proportional to 38,816 and 83,166

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Solution

The third proportional to 38,816 and 83,166 is: 178,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 83,166 = 83,166 : x
  2. Step 2: Convert to fraction form
    38,816/83,166 = 83,166/x
  3. Step 3: Cross multiply
    38,816x = 83,166 × 83,166
  4. Step 4: Simplify right side
    38,816x = 6,916,583,556
  5. Step 5: Solve for x
    x = 6,916,583,556/38,816
  6. Step 6: Final answer
    x = 178,188.98

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Why These Related Problems?

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