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Finding the Third Proportional to 47,005 and 101,277

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Solution

The third proportional to 47,005 and 101,277 is: 218,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005 : 101,277 = 101,277 : x
  2. Step 2: Convert to fraction form
    47,005/101,277 = 101,277/x
  3. Step 3: Cross multiply
    47,005x = 101,277 × 101,277
  4. Step 4: Simplify right side
    47,005x = 10,257,030,729
  5. Step 5: Solve for x
    x = 10,257,030,729/47,005
  6. Step 6: Final answer
    x = 218,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.