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Finding the Third Proportional to 47,548 and 100,901

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Solution

The third proportional to 47,548 and 100,901 is: 214,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548 : 100,901 = 100,901 : x
  2. Step 2: Convert to fraction form
    47,548/100,901 = 100,901/x
  3. Step 3: Cross multiply
    47,548x = 100,901 × 100,901
  4. Step 4: Simplify right side
    47,548x = 10,181,011,801
  5. Step 5: Solve for x
    x = 10,181,011,801/47,548
  6. Step 6: Final answer
    x = 214,120.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.