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Finding the Third Proportional to 47,958 and 97,820

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Solution

The third proportional to 47,958 and 97,820 is: 199,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,958 : 97,820 = 97,820 : x
  2. Step 2: Convert to fraction form
    47,958/97,820 = 97,820/x
  3. Step 3: Cross multiply
    47,958x = 97,820 × 97,820
  4. Step 4: Simplify right side
    47,958x = 9,568,752,400
  5. Step 5: Solve for x
    x = 9,568,752,400/47,958
  6. Step 6: Final answer
    x = 199,523.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.