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Finding the Third Proportional to 108,665.44 and 166,226.06

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Solution

The third proportional to 108,665.44 and 166,226.06 is: 254,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,665.44 : 166,226.06 = 166,226.06 : x
  2. Step 2: Convert to fraction form
    108,665.44/166,226.06 = 166,226.06/x
  3. Step 3: Cross multiply
    108,665.44x = 166,226.06 × 166,226.06
  4. Step 4: Simplify right side
    108,665.44x = 27,631,103,854.25
  5. Step 5: Solve for x
    x = 27,631,103,854.25/108,665.44
  6. Step 6: Final answer
    x = 254,276.84

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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.