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Finding the Third Proportional to 65,471.25 and 100,109.25

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Solution

The third proportional to 65,471.25 and 100,109.25 is: 153,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471.25 : 100,109.25 = 100,109.25 : x
  2. Step 2: Convert to fraction form
    65,471.25/100,109.25 = 100,109.25/x
  3. Step 3: Cross multiply
    65,471.25x = 100,109.25 × 100,109.25
  4. Step 4: Simplify right side
    65,471.25x = 10,021,861,935.56
  5. Step 5: Solve for x
    x = 10,021,861,935.56/65,471.25
  6. Step 6: Final answer
    x = 153,072.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.