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Finding the Third Proportional to 47,872.69 and 75,769.03

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Solution

The third proportional to 47,872.69 and 75,769.03 is: 119,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.69 : 75,769.03 = 75,769.03 : x
  2. Step 2: Convert to fraction form
    47,872.69/75,769.03 = 75,769.03/x
  3. Step 3: Cross multiply
    47,872.69x = 75,769.03 × 75,769.03
  4. Step 4: Simplify right side
    47,872.69x = 5,740,946,096.56
  5. Step 5: Solve for x
    x = 5,740,946,096.56/47,872.69
  6. Step 6: Final answer
    x = 119,921.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.