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Finding the Third Proportional to 110,774 and 167,480

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Solution

The third proportional to 110,774 and 167,480 is: 253,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,774 : 167,480 = 167,480 : x
  2. Step 2: Convert to fraction form
    110,774/167,480 = 167,480/x
  3. Step 3: Cross multiply
    110,774x = 167,480 × 167,480
  4. Step 4: Simplify right side
    110,774x = 28,049,550,400
  5. Step 5: Solve for x
    x = 28,049,550,400/110,774
  6. Step 6: Final answer
    x = 253,214.21

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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.