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Finding the Third Proportional to 76,767.75 and 165,083.06

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Solution

The third proportional to 76,767.75 and 165,083.06 is: 354,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.75 : 165,083.06 = 165,083.06 : x
  2. Step 2: Convert to fraction form
    76,767.75/165,083.06 = 165,083.06/x
  3. Step 3: Cross multiply
    76,767.75x = 165,083.06 × 165,083.06
  4. Step 4: Simplify right side
    76,767.75x = 27,252,417,524.38
  5. Step 5: Solve for x
    x = 27,252,417,524.38/76,767.75
  6. Step 6: Final answer
    x = 354,998.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.