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Finding the Third Proportional to 47,493 and 101,973

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Solution

The third proportional to 47,493 and 101,973 is: 218,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,493 : 101,973 = 101,973 : x
  2. Step 2: Convert to fraction form
    47,493/101,973 = 101,973/x
  3. Step 3: Cross multiply
    47,493x = 101,973 × 101,973
  4. Step 4: Simplify right side
    47,493x = 10,398,492,729
  5. Step 5: Solve for x
    x = 10,398,492,729/47,493
  6. Step 6: Final answer
    x = 218,947.90

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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.