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Finding the Third Proportional to 80,655.75 and 125,145

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Solution

The third proportional to 80,655.75 and 125,145 is: 194,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,655.75 : 125,145 = 125,145 : x
  2. Step 2: Convert to fraction form
    80,655.75/125,145 = 125,145/x
  3. Step 3: Cross multiply
    80,655.75x = 125,145 × 125,145
  4. Step 4: Simplify right side
    80,655.75x = 15,661,271,025
  5. Step 5: Solve for x
    x = 15,661,271,025/80,655.75
  6. Step 6: Final answer
    x = 194,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.