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Finding the Third Proportional to 47,187 and 71,385

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Solution

The third proportional to 47,187 and 71,385 is: 107,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,187 : 71,385 = 71,385 : x
  2. Step 2: Convert to fraction form
    47,187/71,385 = 71,385/x
  3. Step 3: Cross multiply
    47,187x = 71,385 × 71,385
  4. Step 4: Simplify right side
    47,187x = 5,095,818,225
  5. Step 5: Solve for x
    x = 5,095,818,225/47,187
  6. Step 6: Final answer
    x = 107,991.99

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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.