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Finding the Third Proportional to 80,241.75 and 169,435.13

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Solution

The third proportional to 80,241.75 and 169,435.13 is: 357,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,241.75 : 169,435.13 = 169,435.13 : x
  2. Step 2: Convert to fraction form
    80,241.75/169,435.13 = 169,435.13/x
  3. Step 3: Cross multiply
    80,241.75x = 169,435.13 × 169,435.13
  4. Step 4: Simplify right side
    80,241.75x = 28,708,261,583.77
  5. Step 5: Solve for x
    x = 28,708,261,583.77/80,241.75
  6. Step 6: Final answer
    x = 357,772.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.