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Finding the Third Proportional to 108,659.53 and 166,217.91

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Solution

The third proportional to 108,659.53 and 166,217.91 is: 254,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,659.53 : 166,217.91 = 166,217.91 : x
  2. Step 2: Convert to fraction form
    108,659.53/166,217.91 = 166,217.91/x
  3. Step 3: Cross multiply
    108,659.53x = 166,217.91 × 166,217.91
  4. Step 4: Simplify right side
    108,659.53x = 27,628,392,358.13
  5. Step 5: Solve for x
    x = 27,628,392,358.13/108,659.53
  6. Step 6: Final answer
    x = 254,265.71

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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.