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Finding the Third Proportional to 47,235 and 102,079

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Solution

The third proportional to 47,235 and 102,079 is: 220,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,235 : 102,079 = 102,079 : x
  2. Step 2: Convert to fraction form
    47,235/102,079 = 102,079/x
  3. Step 3: Cross multiply
    47,235x = 102,079 × 102,079
  4. Step 4: Simplify right side
    47,235x = 10,420,122,241
  5. Step 5: Solve for x
    x = 10,420,122,241/47,235
  6. Step 6: Final answer
    x = 220,601.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.