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Finding the Third Proportional to 64,804.50 and 105,819.75

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Solution

The third proportional to 64,804.50 and 105,819.75 is: 172,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804.50 : 105,819.75 = 105,819.75 : x
  2. Step 2: Convert to fraction form
    64,804.50/105,819.75 = 105,819.75/x
  3. Step 3: Cross multiply
    64,804.50x = 105,819.75 × 105,819.75
  4. Step 4: Simplify right side
    64,804.50x = 11,197,819,490.06
  5. Step 5: Solve for x
    x = 11,197,819,490.06/64,804.50
  6. Step 6: Final answer
    x = 172,793.86

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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.