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Finding the Third Proportional to 63,658.41 and 138,269.53

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Solution

The third proportional to 63,658.41 and 138,269.53 is: 300,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,658.41 : 138,269.53 = 138,269.53 : x
  2. Step 2: Convert to fraction form
    63,658.41/138,269.53 = 138,269.53/x
  3. Step 3: Cross multiply
    63,658.41x = 138,269.53 × 138,269.53
  4. Step 4: Simplify right side
    63,658.41x = 19,118,463,272.09
  5. Step 5: Solve for x
    x = 19,118,463,272.09/63,658.41
  6. Step 6: Final answer
    x = 300,328.97

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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.