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Finding the Third Proportional to 47,008 and 102,591

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Solution

The third proportional to 47,008 and 102,591 is: 223,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008 : 102,591 = 102,591 : x
  2. Step 2: Convert to fraction form
    47,008/102,591 = 102,591/x
  3. Step 3: Cross multiply
    47,008x = 102,591 × 102,591
  4. Step 4: Simplify right side
    47,008x = 10,524,913,281
  5. Step 5: Solve for x
    x = 10,524,913,281/47,008
  6. Step 6: Final answer
    x = 223,896.22

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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.