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Finding the Third Proportional to 110,752 and 167,280

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Solution

The third proportional to 110,752 and 167,280 is: 252,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,752 : 167,280 = 167,280 : x
  2. Step 2: Convert to fraction form
    110,752/167,280 = 167,280/x
  3. Step 3: Cross multiply
    110,752x = 167,280 × 167,280
  4. Step 4: Simplify right side
    110,752x = 27,982,598,400
  5. Step 5: Solve for x
    x = 27,982,598,400/110,752
  6. Step 6: Final answer
    x = 252,659.98

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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.