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Finding the Third Proportional to 111,844 and 169,206

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Solution

The third proportional to 111,844 and 169,206 is: 255,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,844 : 169,206 = 169,206 : x
  2. Step 2: Convert to fraction form
    111,844/169,206 = 169,206/x
  3. Step 3: Cross multiply
    111,844x = 169,206 × 169,206
  4. Step 4: Simplify right side
    111,844x = 28,630,670,436
  5. Step 5: Solve for x
    x = 28,630,670,436/111,844
  6. Step 6: Final answer
    x = 255,987.54

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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.