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Finding the Third Proportional to 104,714.25 and 166,457.25

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Solution

The third proportional to 104,714.25 and 166,457.25 is: 264,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714.25 : 166,457.25 = 166,457.25 : x
  2. Step 2: Convert to fraction form
    104,714.25/166,457.25 = 166,457.25/x
  3. Step 3: Cross multiply
    104,714.25x = 166,457.25 × 166,457.25
  4. Step 4: Simplify right side
    104,714.25x = 27,708,016,077.56
  5. Step 5: Solve for x
    x = 27,708,016,077.56/104,714.25
  6. Step 6: Final answer
    x = 264,605.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.