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Finding the Third Proportional to 47,853 and 98,094

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Solution

The third proportional to 47,853 and 98,094 is: 201,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853 : 98,094 = 98,094 : x
  2. Step 2: Convert to fraction form
    47,853/98,094 = 98,094/x
  3. Step 3: Cross multiply
    47,853x = 98,094 × 98,094
  4. Step 4: Simplify right side
    47,853x = 9,622,432,836
  5. Step 5: Solve for x
    x = 9,622,432,836/47,853
  6. Step 6: Final answer
    x = 201,083.17

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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.