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Finding the Third Proportional to 47,550 and 100,905

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Solution

The third proportional to 47,550 and 100,905 is: 214,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550 : 100,905 = 100,905 : x
  2. Step 2: Convert to fraction form
    47,550/100,905 = 100,905/x
  3. Step 3: Cross multiply
    47,550x = 100,905 × 100,905
  4. Step 4: Simplify right side
    47,550x = 10,181,819,025
  5. Step 5: Solve for x
    x = 10,181,819,025/47,550
  6. Step 6: Final answer
    x = 214,128.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.