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Finding the Third Proportional to 80,551.13 and 174,355.88

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Solution

The third proportional to 80,551.13 and 174,355.88 is: 377,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,551.13 : 174,355.88 = 174,355.88 : x
  2. Step 2: Convert to fraction form
    80,551.13/174,355.88 = 174,355.88/x
  3. Step 3: Cross multiply
    80,551.13x = 174,355.88 × 174,355.88
  4. Step 4: Simplify right side
    80,551.13x = 30,399,971,147.02
  5. Step 5: Solve for x
    x = 30,399,971,147.02/80,551.13
  6. Step 6: Final answer
    x = 377,399.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.