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Finding the Third Proportional to 76,767.75 and 166,110.19

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Solution

The third proportional to 76,767.75 and 166,110.19 is: 359,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.75 : 166,110.19 = 166,110.19 : x
  2. Step 2: Convert to fraction form
    76,767.75/166,110.19 = 166,110.19/x
  3. Step 3: Cross multiply
    76,767.75x = 166,110.19 × 166,110.19
  4. Step 4: Simplify right side
    76,767.75x = 27,592,594,391.29
  5. Step 5: Solve for x
    x = 27,592,594,391.29/76,767.75
  6. Step 6: Final answer
    x = 359,429.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.