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Finding the Third Proportional to 47,632 and 100,610

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Solution

The third proportional to 47,632 and 100,610 is: 212,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,632 : 100,610 = 100,610 : x
  2. Step 2: Convert to fraction form
    47,632/100,610 = 100,610/x
  3. Step 3: Cross multiply
    47,632x = 100,610 × 100,610
  4. Step 4: Simplify right side
    47,632x = 10,122,372,100
  5. Step 5: Solve for x
    x = 10,122,372,100/47,632
  6. Step 6: Final answer
    x = 212,512.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.