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Finding the Third Proportional to 47,008 and 101,760

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Solution

The third proportional to 47,008 and 101,760 is: 220,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008 : 101,760 = 101,760 : x
  2. Step 2: Convert to fraction form
    47,008/101,760 = 101,760/x
  3. Step 3: Cross multiply
    47,008x = 101,760 × 101,760
  4. Step 4: Simplify right side
    47,008x = 10,355,097,600
  5. Step 5: Solve for x
    x = 10,355,097,600/47,008
  6. Step 6: Final answer
    x = 220,283.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.