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Finding the Third Proportional to 47,539 and 101,827

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Solution

The third proportional to 47,539 and 101,827 is: 218,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,539 : 101,827 = 101,827 : x
  2. Step 2: Convert to fraction form
    47,539/101,827 = 101,827/x
  3. Step 3: Cross multiply
    47,539x = 101,827 × 101,827
  4. Step 4: Simplify right side
    47,539x = 10,368,737,929
  5. Step 5: Solve for x
    x = 10,368,737,929/47,539
  6. Step 6: Final answer
    x = 218,110.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.