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Finding the Third Proportional to 53,299.69 and 79,867.50

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Solution

The third proportional to 53,299.69 and 79,867.50 is: 119,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,299.69 : 79,867.50 = 79,867.50 : x
  2. Step 2: Convert to fraction form
    53,299.69/79,867.50 = 79,867.50/x
  3. Step 3: Cross multiply
    53,299.69x = 79,867.50 × 79,867.50
  4. Step 4: Simplify right side
    53,299.69x = 6,378,817,556.25
  5. Step 5: Solve for x
    x = 6,378,817,556.25/53,299.69
  6. Step 6: Final answer
    x = 119,678.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.