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Finding the Third Proportional to 63,559.69 and 137,029.22

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Solution

The third proportional to 63,559.69 and 137,029.22 is: 295,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,559.69 : 137,029.22 = 137,029.22 : x
  2. Step 2: Convert to fraction form
    63,559.69/137,029.22 = 137,029.22/x
  3. Step 3: Cross multiply
    63,559.69x = 137,029.22 × 137,029.22
  4. Step 4: Simplify right side
    63,559.69x = 18,777,006,791.24
  5. Step 5: Solve for x
    x = 18,777,006,791.24/63,559.69
  6. Step 6: Final answer
    x = 295,423.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.