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Finding the Third Proportional to 73,118 and 159,619

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Solution

The third proportional to 73,118 and 159,619 is: 348,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118 : 159,619 = 159,619 : x
  2. Step 2: Convert to fraction form
    73,118/159,619 = 159,619/x
  3. Step 3: Cross multiply
    73,118x = 159,619 × 159,619
  4. Step 4: Simplify right side
    73,118x = 25,478,225,161
  5. Step 5: Solve for x
    x = 25,478,225,161/73,118
  6. Step 6: Final answer
    x = 348,453.53

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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.