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Finding the Third Proportional to 47,295 and 71,505

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Solution

The third proportional to 47,295 and 71,505 is: 108,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,295 : 71,505 = 71,505 : x
  2. Step 2: Convert to fraction form
    47,295/71,505 = 71,505/x
  3. Step 3: Cross multiply
    47,295x = 71,505 × 71,505
  4. Step 4: Simplify right side
    47,295x = 5,112,965,025
  5. Step 5: Solve for x
    x = 5,112,965,025/47,295
  6. Step 6: Final answer
    x = 108,107.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.