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Finding the Third Proportional to 111,654 and 159,176

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Solution

The third proportional to 111,654 and 159,176 is: 226,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,654 : 159,176 = 159,176 : x
  2. Step 2: Convert to fraction form
    111,654/159,176 = 159,176/x
  3. Step 3: Cross multiply
    111,654x = 159,176 × 159,176
  4. Step 4: Simplify right side
    111,654x = 25,336,998,976
  5. Step 5: Solve for x
    x = 25,336,998,976/111,654
  6. Step 6: Final answer
    x = 226,924.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.