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Finding the Third Proportional to 109,357 and 158,041

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Solution

The third proportional to 109,357 and 158,041 is: 228,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,357 : 158,041 = 158,041 : x
  2. Step 2: Convert to fraction form
    109,357/158,041 = 158,041/x
  3. Step 3: Cross multiply
    109,357x = 158,041 × 158,041
  4. Step 4: Simplify right side
    109,357x = 24,976,957,681
  5. Step 5: Solve for x
    x = 24,976,957,681/109,357
  6. Step 6: Final answer
    x = 228,398.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.