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Finding the Third Proportional to 48,901 and 103,059

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Solution

The third proportional to 48,901 and 103,059 is: 217,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901 : 103,059 = 103,059 : x
  2. Step 2: Convert to fraction form
    48,901/103,059 = 103,059/x
  3. Step 3: Cross multiply
    48,901x = 103,059 × 103,059
  4. Step 4: Simplify right side
    48,901x = 10,621,157,481
  5. Step 5: Solve for x
    x = 10,621,157,481/48,901
  6. Step 6: Final answer
    x = 217,197.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.