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Finding the Third Proportional to 63,846 and 129,516

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Solution

The third proportional to 63,846 and 129,516 is: 262,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,846 : 129,516 = 129,516 : x
  2. Step 2: Convert to fraction form
    63,846/129,516 = 129,516/x
  3. Step 3: Cross multiply
    63,846x = 129,516 × 129,516
  4. Step 4: Simplify right side
    63,846x = 16,774,394,256
  5. Step 5: Solve for x
    x = 16,774,394,256/63,846
  6. Step 6: Final answer
    x = 262,732.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.