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Finding the Third Proportional to 103,756 and 158,226

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Solution

The third proportional to 103,756 and 158,226 is: 241,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,756 : 158,226 = 158,226 : x
  2. Step 2: Convert to fraction form
    103,756/158,226 = 158,226/x
  3. Step 3: Cross multiply
    103,756x = 158,226 × 158,226
  4. Step 4: Simplify right side
    103,756x = 25,035,467,076
  5. Step 5: Solve for x
    x = 25,035,467,076/103,756
  6. Step 6: Final answer
    x = 241,291.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.