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Finding the Third Proportional to 47,493 and 75,203

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Solution

The third proportional to 47,493 and 75,203 is: 119,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,493 : 75,203 = 75,203 : x
  2. Step 2: Convert to fraction form
    47,493/75,203 = 75,203/x
  3. Step 3: Cross multiply
    47,493x = 75,203 × 75,203
  4. Step 4: Simplify right side
    47,493x = 5,655,491,209
  5. Step 5: Solve for x
    x = 5,655,491,209/47,493
  6. Step 6: Final answer
    x = 119,080.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.