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Finding the Third Proportional to 106,478 and 158,799

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Solution

The third proportional to 106,478 and 158,799 is: 236,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478 : 158,799 = 158,799 : x
  2. Step 2: Convert to fraction form
    106,478/158,799 = 158,799/x
  3. Step 3: Cross multiply
    106,478x = 158,799 × 158,799
  4. Step 4: Simplify right side
    106,478x = 25,217,122,401
  5. Step 5: Solve for x
    x = 25,217,122,401/106,478
  6. Step 6: Final answer
    x = 236,829.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.