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Finding the Third Proportional to 63,344.53 and 137,640.94

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Solution

The third proportional to 63,344.53 and 137,640.94 is: 299,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,344.53 : 137,640.94 = 137,640.94 : x
  2. Step 2: Convert to fraction form
    63,344.53/137,640.94 = 137,640.94/x
  3. Step 3: Cross multiply
    63,344.53x = 137,640.94 × 137,640.94
  4. Step 4: Simplify right side
    63,344.53x = 18,945,027,675.88
  5. Step 5: Solve for x
    x = 18,945,027,675.88/63,344.53
  6. Step 6: Final answer
    x = 299,079.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.