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Finding the Third Proportional to 63,682 and 134,329

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Solution

The third proportional to 63,682 and 134,329 is: 283,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,682 : 134,329 = 134,329 : x
  2. Step 2: Convert to fraction form
    63,682/134,329 = 134,329/x
  3. Step 3: Cross multiply
    63,682x = 134,329 × 134,329
  4. Step 4: Simplify right side
    63,682x = 18,044,280,241
  5. Step 5: Solve for x
    x = 18,044,280,241/63,682
  6. Step 6: Final answer
    x = 283,349.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.