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Finding the Third Proportional to 63,900 and 131,896.50

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Solution

The third proportional to 63,900 and 131,896.50 is: 272,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,900 : 131,896.50 = 131,896.50 : x
  2. Step 2: Convert to fraction form
    63,900/131,896.50 = 131,896.50/x
  3. Step 3: Cross multiply
    63,900x = 131,896.50 × 131,896.50
  4. Step 4: Simplify right side
    63,900x = 17,396,686,712.25
  5. Step 5: Solve for x
    x = 17,396,686,712.25/63,900
  6. Step 6: Final answer
    x = 272,248.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.