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Finding the Third Proportional to 47,871 and 111,815.44

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Solution

The third proportional to 47,871 and 111,815.44 is: 261,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871 : 111,815.44 = 111,815.44 : x
  2. Step 2: Convert to fraction form
    47,871/111,815.44 = 111,815.44/x
  3. Step 3: Cross multiply
    47,871x = 111,815.44 × 111,815.44
  4. Step 4: Simplify right side
    47,871x = 12,502,692,063.32
  5. Step 5: Solve for x
    x = 12,502,692,063.32/47,871
  6. Step 6: Final answer
    x = 261,174.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.