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Finding the Third Proportional to 110,740 and 158,226

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Solution

The third proportional to 110,740 and 158,226 is: 226,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,740 : 158,226 = 158,226 : x
  2. Step 2: Convert to fraction form
    110,740/158,226 = 158,226/x
  3. Step 3: Cross multiply
    110,740x = 158,226 × 158,226
  4. Step 4: Simplify right side
    110,740x = 25,035,467,076
  5. Step 5: Solve for x
    x = 25,035,467,076/110,740
  6. Step 6: Final answer
    x = 226,074.29

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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.