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Finding the Third Proportional to 76,305.80 and 165,743.72

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Solution

The third proportional to 76,305.80 and 165,743.72 is: 360,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.80 : 165,743.72 = 165,743.72 : x
  2. Step 2: Convert to fraction form
    76,305.80/165,743.72 = 165,743.72/x
  3. Step 3: Cross multiply
    76,305.80x = 165,743.72 × 165,743.72
  4. Step 4: Simplify right side
    76,305.80x = 27,470,980,305.08
  5. Step 5: Solve for x
    x = 27,470,980,305.08/76,305.80
  6. Step 6: Final answer
    x = 360,011.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.