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Finding the Third Proportional to 73,736 and 157,112

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Solution

The third proportional to 73,736 and 157,112 is: 334,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,736 : 157,112 = 157,112 : x
  2. Step 2: Convert to fraction form
    73,736/157,112 = 157,112/x
  3. Step 3: Cross multiply
    73,736x = 157,112 × 157,112
  4. Step 4: Simplify right side
    73,736x = 24,684,180,544
  5. Step 5: Solve for x
    x = 24,684,180,544/73,736
  6. Step 6: Final answer
    x = 334,764.30

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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.