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Finding the Third Proportional to 108,579.75 and 166,098.38

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Solution

The third proportional to 108,579.75 and 166,098.38 is: 254,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,579.75 : 166,098.38 = 166,098.38 : x
  2. Step 2: Convert to fraction form
    108,579.75/166,098.38 = 166,098.38/x
  3. Step 3: Cross multiply
    108,579.75x = 166,098.38 × 166,098.38
  4. Step 4: Simplify right side
    108,579.75x = 27,588,670,177.64
  5. Step 5: Solve for x
    x = 27,588,670,177.64/108,579.75
  6. Step 6: Final answer
    x = 254,086.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.