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Finding the Third Proportional to 64,819.50 and 105,843.75

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Solution

The third proportional to 64,819.50 and 105,843.75 is: 172,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,819.50 : 105,843.75 = 105,843.75 : x
  2. Step 2: Convert to fraction form
    64,819.50/105,843.75 = 105,843.75/x
  3. Step 3: Cross multiply
    64,819.50x = 105,843.75 × 105,843.75
  4. Step 4: Simplify right side
    64,819.50x = 11,202,899,414.06
  5. Step 5: Solve for x
    x = 11,202,899,414.06/64,819.50
  6. Step 6: Final answer
    x = 172,832.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.