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Finding the Third Proportional to 47,956 and 75,228

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Solution

The third proportional to 47,956 and 75,228 is: 118,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956 : 75,228 = 75,228 : x
  2. Step 2: Convert to fraction form
    47,956/75,228 = 75,228/x
  3. Step 3: Cross multiply
    47,956x = 75,228 × 75,228
  4. Step 4: Simplify right side
    47,956x = 5,659,251,984
  5. Step 5: Solve for x
    x = 5,659,251,984/47,956
  6. Step 6: Final answer
    x = 118,009.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.