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Finding the Third Proportional to 69,933.75 and 105,481.50

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Solution

The third proportional to 69,933.75 and 105,481.50 is: 159,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,933.75 : 105,481.50 = 105,481.50 : x
  2. Step 2: Convert to fraction form
    69,933.75/105,481.50 = 105,481.50/x
  3. Step 3: Cross multiply
    69,933.75x = 105,481.50 × 105,481.50
  4. Step 4: Simplify right side
    69,933.75x = 11,126,346,842.25
  5. Step 5: Solve for x
    x = 11,126,346,842.25/69,933.75
  6. Step 6: Final answer
    x = 159,098.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.