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Finding the Third Proportional to 85,181.63 and 179,178.75

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Solution

The third proportional to 85,181.63 and 179,178.75 is: 376,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,181.63 : 179,178.75 = 179,178.75 : x
  2. Step 2: Convert to fraction form
    85,181.63/179,178.75 = 179,178.75/x
  3. Step 3: Cross multiply
    85,181.63x = 179,178.75 × 179,178.75
  4. Step 4: Simplify right side
    85,181.63x = 32,105,024,451.56
  5. Step 5: Solve for x
    x = 32,105,024,451.56/85,181.63
  6. Step 6: Final answer
    x = 376,900.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.