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Finding the Third Proportional to 76,416.75 and 165,961.13

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Solution

The third proportional to 76,416.75 and 165,961.13 is: 360,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416.75 : 165,961.13 = 165,961.13 : x
  2. Step 2: Convert to fraction form
    76,416.75/165,961.13 = 165,961.13/x
  3. Step 3: Cross multiply
    76,416.75x = 165,961.13 × 165,961.13
  4. Step 4: Simplify right side
    76,416.75x = 27,543,095,011.27
  5. Step 5: Solve for x
    x = 27,543,095,011.27/76,416.75
  6. Step 6: Final answer
    x = 360,432.69

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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.