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Finding the Third Proportional to 73,180 and 159,620

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Solution

The third proportional to 73,180 and 159,620 is: 348,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,180 : 159,620 = 159,620 : x
  2. Step 2: Convert to fraction form
    73,180/159,620 = 159,620/x
  3. Step 3: Cross multiply
    73,180x = 159,620 × 159,620
  4. Step 4: Simplify right side
    73,180x = 25,478,544,400
  5. Step 5: Solve for x
    x = 25,478,544,400/73,180
  6. Step 6: Final answer
    x = 348,162.67

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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.