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Finding the Third Proportional to 47,099 and 102,379

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Solution

The third proportional to 47,099 and 102,379 is: 222,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099 : 102,379 = 102,379 : x
  2. Step 2: Convert to fraction form
    47,099/102,379 = 102,379/x
  3. Step 3: Cross multiply
    47,099x = 102,379 × 102,379
  4. Step 4: Simplify right side
    47,099x = 10,481,459,641
  5. Step 5: Solve for x
    x = 10,481,459,641/47,099
  6. Step 6: Final answer
    x = 222,541.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.