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Finding the Third Proportional to 110,692 and 172,950

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Solution

The third proportional to 110,692 and 172,950 is: 270,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,692 : 172,950 = 172,950 : x
  2. Step 2: Convert to fraction form
    110,692/172,950 = 172,950/x
  3. Step 3: Cross multiply
    110,692x = 172,950 × 172,950
  4. Step 4: Simplify right side
    110,692x = 29,911,702,500
  5. Step 5: Solve for x
    x = 29,911,702,500/110,692
  6. Step 6: Final answer
    x = 270,224.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.