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Finding the Third Proportional to 73,034 and 159,220

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Solution

The third proportional to 73,034 and 159,220 is: 347,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,034 : 159,220 = 159,220 : x
  2. Step 2: Convert to fraction form
    73,034/159,220 = 159,220/x
  3. Step 3: Cross multiply
    73,034x = 159,220 × 159,220
  4. Step 4: Simplify right side
    73,034x = 25,351,008,400
  5. Step 5: Solve for x
    x = 25,351,008,400/73,034
  6. Step 6: Final answer
    x = 347,112.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.