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Finding the Third Proportional to 39,524 and 93,299

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Solution

The third proportional to 39,524 and 93,299 is: 220,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524 : 93,299 = 93,299 : x
  2. Step 2: Convert to fraction form
    39,524/93,299 = 93,299/x
  3. Step 3: Cross multiply
    39,524x = 93,299 × 93,299
  4. Step 4: Simplify right side
    39,524x = 8,704,703,401
  5. Step 5: Solve for x
    x = 8,704,703,401/39,524
  6. Step 6: Final answer
    x = 220,238.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.