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Finding the Third Proportional to 47,251 and 73,109.50

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Solution

The third proportional to 47,251 and 73,109.50 is: 113,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251 : 73,109.50 = 73,109.50 : x
  2. Step 2: Convert to fraction form
    47,251/73,109.50 = 73,109.50/x
  3. Step 3: Cross multiply
    47,251x = 73,109.50 × 73,109.50
  4. Step 4: Simplify right side
    47,251x = 5,344,998,990.25
  5. Step 5: Solve for x
    x = 5,344,998,990.25/47,251
  6. Step 6: Final answer
    x = 113,119.28

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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.