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Finding the Third Proportional to 64,049.25 and 137,574.75

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Solution

The third proportional to 64,049.25 and 137,574.75 is: 295,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,049.25 : 137,574.75 = 137,574.75 : x
  2. Step 2: Convert to fraction form
    64,049.25/137,574.75 = 137,574.75/x
  3. Step 3: Cross multiply
    64,049.25x = 137,574.75 × 137,574.75
  4. Step 4: Simplify right side
    64,049.25x = 18,926,811,837.56
  5. Step 5: Solve for x
    x = 18,926,811,837.56/64,049.25
  6. Step 6: Final answer
    x = 295,504.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.