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Finding the Third Proportional to 47,001 and 102,642

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Solution

The third proportional to 47,001 and 102,642 is: 224,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,001 : 102,642 = 102,642 : x
  2. Step 2: Convert to fraction form
    47,001/102,642 = 102,642/x
  3. Step 3: Cross multiply
    47,001x = 102,642 × 102,642
  4. Step 4: Simplify right side
    47,001x = 10,535,380,164
  5. Step 5: Solve for x
    x = 10,535,380,164/47,001
  6. Step 6: Final answer
    x = 224,152.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.