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Finding the Third Proportional to 63,939 and 100,299

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Solution

The third proportional to 63,939 and 100,299 is: 157,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,939 : 100,299 = 100,299 : x
  2. Step 2: Convert to fraction form
    63,939/100,299 = 100,299/x
  3. Step 3: Cross multiply
    63,939x = 100,299 × 100,299
  4. Step 4: Simplify right side
    63,939x = 10,059,889,401
  5. Step 5: Solve for x
    x = 10,059,889,401/63,939
  6. Step 6: Final answer
    x = 157,335.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.