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Finding the Third Proportional to 111,059 and 158,282

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Solution

The third proportional to 111,059 and 158,282 is: 225,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,059 : 158,282 = 158,282 : x
  2. Step 2: Convert to fraction form
    111,059/158,282 = 158,282/x
  3. Step 3: Cross multiply
    111,059x = 158,282 × 158,282
  4. Step 4: Simplify right side
    111,059x = 25,053,191,524
  5. Step 5: Solve for x
    x = 25,053,191,524/111,059
  6. Step 6: Final answer
    x = 225,584.52

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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.