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Finding the Third Proportional to 110,424 and 172,197

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Solution

The third proportional to 110,424 and 172,197 is: 268,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,424 : 172,197 = 172,197 : x
  2. Step 2: Convert to fraction form
    110,424/172,197 = 172,197/x
  3. Step 3: Cross multiply
    110,424x = 172,197 × 172,197
  4. Step 4: Simplify right side
    110,424x = 29,651,806,809
  5. Step 5: Solve for x
    x = 29,651,806,809/110,424
  6. Step 6: Final answer
    x = 268,526.83

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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.