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Finding the Third Proportional to 48,855 and 100,299

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Solution

The third proportional to 48,855 and 100,299 is: 205,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,855 : 100,299 = 100,299 : x
  2. Step 2: Convert to fraction form
    48,855/100,299 = 100,299/x
  3. Step 3: Cross multiply
    48,855x = 100,299 × 100,299
  4. Step 4: Simplify right side
    48,855x = 10,059,889,401
  5. Step 5: Solve for x
    x = 10,059,889,401/48,855
  6. Step 6: Final answer
    x = 205,913.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.