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Finding the Third Proportional to 47,811 and 101,310

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Solution

The third proportional to 47,811 and 101,310 is: 214,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811 : 101,310 = 101,310 : x
  2. Step 2: Convert to fraction form
    47,811/101,310 = 101,310/x
  3. Step 3: Cross multiply
    47,811x = 101,310 × 101,310
  4. Step 4: Simplify right side
    47,811x = 10,263,716,100
  5. Step 5: Solve for x
    x = 10,263,716,100/47,811
  6. Step 6: Final answer
    x = 214,672.69

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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.