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Finding the Third Proportional to 84,943.69 and 119,049.75

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Solution

The third proportional to 84,943.69 and 119,049.75 is: 166,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,943.69 : 119,049.75 = 119,049.75 : x
  2. Step 2: Convert to fraction form
    84,943.69/119,049.75 = 119,049.75/x
  3. Step 3: Cross multiply
    84,943.69x = 119,049.75 × 119,049.75
  4. Step 4: Simplify right side
    84,943.69x = 14,172,842,975.06
  5. Step 5: Solve for x
    x = 14,172,842,975.06/84,943.69
  6. Step 6: Final answer
    x = 166,849.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.