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Finding the Third Proportional to 110,776 and 167,180

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Solution

The third proportional to 110,776 and 167,180 is: 252,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,776 : 167,180 = 167,180 : x
  2. Step 2: Convert to fraction form
    110,776/167,180 = 167,180/x
  3. Step 3: Cross multiply
    110,776x = 167,180 × 167,180
  4. Step 4: Simplify right side
    110,776x = 27,949,152,400
  5. Step 5: Solve for x
    x = 27,949,152,400/110,776
  6. Step 6: Final answer
    x = 252,303.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.