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Finding the Third Proportional to 85,169.38 and 179,166.63

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Solution

The third proportional to 85,169.38 and 179,166.63 is: 376,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169.38 : 179,166.63 = 179,166.63 : x
  2. Step 2: Convert to fraction form
    85,169.38/179,166.63 = 179,166.63/x
  3. Step 3: Cross multiply
    85,169.38x = 179,166.63 × 179,166.63
  4. Step 4: Simplify right side
    85,169.38x = 32,100,679,513.89
  5. Step 5: Solve for x
    x = 32,100,679,513.89/85,169.38
  6. Step 6: Final answer
    x = 376,904.02

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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.