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Finding the Third Proportional to 47,274 and 103,134

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Solution

The third proportional to 47,274 and 103,134 is: 224,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,274 : 103,134 = 103,134 : x
  2. Step 2: Convert to fraction form
    47,274/103,134 = 103,134/x
  3. Step 3: Cross multiply
    47,274x = 103,134 × 103,134
  4. Step 4: Simplify right side
    47,274x = 10,636,621,956
  5. Step 5: Solve for x
    x = 10,636,621,956/47,274
  6. Step 6: Final answer
    x = 224,999.41

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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.