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Finding the Third Proportional to 118,822 and 167,180

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Solution

The third proportional to 118,822 and 167,180 is: 235,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,822 : 167,180 = 167,180 : x
  2. Step 2: Convert to fraction form
    118,822/167,180 = 167,180/x
  3. Step 3: Cross multiply
    118,822x = 167,180 × 167,180
  4. Step 4: Simplify right side
    118,822x = 27,949,152,400
  5. Step 5: Solve for x
    x = 27,949,152,400/118,822
  6. Step 6: Final answer
    x = 235,218.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.