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Finding the Third Proportional to 103,482 and 158,193

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Solution

The third proportional to 103,482 and 158,193 is: 241,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482 : 158,193 = 158,193 : x
  2. Step 2: Convert to fraction form
    103,482/158,193 = 158,193/x
  3. Step 3: Cross multiply
    103,482x = 158,193 × 158,193
  4. Step 4: Simplify right side
    103,482x = 25,025,025,249
  5. Step 5: Solve for x
    x = 25,025,025,249/103,482
  6. Step 6: Final answer
    x = 241,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.