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Finding the Third Proportional to 38,164 and 77,406

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Solution

The third proportional to 38,164 and 77,406 is: 156,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164 : 77,406 = 77,406 : x
  2. Step 2: Convert to fraction form
    38,164/77,406 = 77,406/x
  3. Step 3: Cross multiply
    38,164x = 77,406 × 77,406
  4. Step 4: Simplify right side
    38,164x = 5,991,688,836
  5. Step 5: Solve for x
    x = 5,991,688,836/38,164
  6. Step 6: Final answer
    x = 156,998.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.