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Finding the Third Proportional to 79,953.75 and 172,212.75

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Solution

The third proportional to 79,953.75 and 172,212.75 is: 370,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,953.75 : 172,212.75 = 172,212.75 : x
  2. Step 2: Convert to fraction form
    79,953.75/172,212.75 = 172,212.75/x
  3. Step 3: Cross multiply
    79,953.75x = 172,212.75 × 172,212.75
  4. Step 4: Simplify right side
    79,953.75x = 29,657,231,262.56
  5. Step 5: Solve for x
    x = 29,657,231,262.56/79,953.75
  6. Step 6: Final answer
    x = 370,929.83

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