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Finding the Third Proportional to 103,329 and 158,049

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Solution

The third proportional to 103,329 and 158,049 is: 241,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,329 : 158,049 = 158,049 : x
  2. Step 2: Convert to fraction form
    103,329/158,049 = 158,049/x
  3. Step 3: Cross multiply
    103,329x = 158,049 × 158,049
  4. Step 4: Simplify right side
    103,329x = 24,979,486,401
  5. Step 5: Solve for x
    x = 24,979,486,401/103,329
  6. Step 6: Final answer
    x = 241,747.10

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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.