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Finding the Third Proportional to 47,055 and 97,998

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Solution

The third proportional to 47,055 and 97,998 is: 204,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,055 : 97,998 = 97,998 : x
  2. Step 2: Convert to fraction form
    47,055/97,998 = 97,998/x
  3. Step 3: Cross multiply
    47,055x = 97,998 × 97,998
  4. Step 4: Simplify right side
    47,055x = 9,603,608,004
  5. Step 5: Solve for x
    x = 9,603,608,004/47,055
  6. Step 6: Final answer
    x = 204,093.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.