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Finding the Third Proportional to 63,380 and 137,796

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Solution

The third proportional to 63,380 and 137,796 is: 299,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380 : 137,796 = 137,796 : x
  2. Step 2: Convert to fraction form
    63,380/137,796 = 137,796/x
  3. Step 3: Cross multiply
    63,380x = 137,796 × 137,796
  4. Step 4: Simplify right side
    63,380x = 18,987,737,616
  5. Step 5: Solve for x
    x = 18,987,737,616/63,380
  6. Step 6: Final answer
    x = 299,585.64

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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.