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Finding the Third Proportional to 47,272 and 73,187

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Solution

The third proportional to 47,272 and 73,187 is: 113,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,272 : 73,187 = 73,187 : x
  2. Step 2: Convert to fraction form
    47,272/73,187 = 73,187/x
  3. Step 3: Cross multiply
    47,272x = 73,187 × 73,187
  4. Step 4: Simplify right side
    47,272x = 5,356,336,969
  5. Step 5: Solve for x
    x = 5,356,336,969/47,272
  6. Step 6: Final answer
    x = 113,308.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.