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Finding the Third Proportional to 47,858 and 98,102

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Solution

The third proportional to 47,858 and 98,102 is: 201,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,858 : 98,102 = 98,102 : x
  2. Step 2: Convert to fraction form
    47,858/98,102 = 98,102/x
  3. Step 3: Cross multiply
    47,858x = 98,102 × 98,102
  4. Step 4: Simplify right side
    47,858x = 9,624,002,404
  5. Step 5: Solve for x
    x = 9,624,002,404/47,858
  6. Step 6: Final answer
    x = 201,094.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.