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Finding the Third Proportional to 47,159 and 101,340.75

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Solution

The third proportional to 47,159 and 101,340.75 is: 217,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,159 : 101,340.75 = 101,340.75 : x
  2. Step 2: Convert to fraction form
    47,159/101,340.75 = 101,340.75/x
  3. Step 3: Cross multiply
    47,159x = 101,340.75 × 101,340.75
  4. Step 4: Simplify right side
    47,159x = 10,269,947,610.56
  5. Step 5: Solve for x
    x = 10,269,947,610.56/47,159
  6. Step 6: Final answer
    x = 217,772.80

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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.