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Finding the Third Proportional to 38,168 and 77,414

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Solution

The third proportional to 38,168 and 77,414 is: 157,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,168 : 77,414 = 77,414 : x
  2. Step 2: Convert to fraction form
    38,168/77,414 = 77,414/x
  3. Step 3: Cross multiply
    38,168x = 77,414 × 77,414
  4. Step 4: Simplify right side
    38,168x = 5,992,927,396
  5. Step 5: Solve for x
    x = 5,992,927,396/38,168
  6. Step 6: Final answer
    x = 157,014.45

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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.