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Finding the Third Proportional to 47,122 and 102,424

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Solution

The third proportional to 47,122 and 102,424 is: 222,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122 : 102,424 = 102,424 : x
  2. Step 2: Convert to fraction form
    47,122/102,424 = 102,424/x
  3. Step 3: Cross multiply
    47,122x = 102,424 × 102,424
  4. Step 4: Simplify right side
    47,122x = 10,490,675,776
  5. Step 5: Solve for x
    x = 10,490,675,776/47,122
  6. Step 6: Final answer
    x = 222,627.98

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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.