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Finding the Third Proportional to 63,819 and 137,115

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Solution

The third proportional to 63,819 and 137,115 is: 294,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,819 : 137,115 = 137,115 : x
  2. Step 2: Convert to fraction form
    63,819/137,115 = 137,115/x
  3. Step 3: Cross multiply
    63,819x = 137,115 × 137,115
  4. Step 4: Simplify right side
    63,819x = 18,800,523,225
  5. Step 5: Solve for x
    x = 18,800,523,225/63,819
  6. Step 6: Final answer
    x = 294,591.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.