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Finding the Third Proportional to 47,287 and 96,733

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Solution

The third proportional to 47,287 and 96,733 is: 197,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,287 : 96,733 = 96,733 : x
  2. Step 2: Convert to fraction form
    47,287/96,733 = 96,733/x
  3. Step 3: Cross multiply
    47,287x = 96,733 × 96,733
  4. Step 4: Simplify right side
    47,287x = 9,357,273,289
  5. Step 5: Solve for x
    x = 9,357,273,289/47,287
  6. Step 6: Final answer
    x = 197,882.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.