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Finding the Third Proportional to 80,154 and 171,033.75

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Solution

The third proportional to 80,154 and 171,033.75 is: 364,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,154 : 171,033.75 = 171,033.75 : x
  2. Step 2: Convert to fraction form
    80,154/171,033.75 = 171,033.75/x
  3. Step 3: Cross multiply
    80,154x = 171,033.75 × 171,033.75
  4. Step 4: Simplify right side
    80,154x = 29,252,543,639.06
  5. Step 5: Solve for x
    x = 29,252,543,639.06/80,154
  6. Step 6: Final answer
    x = 364,954.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.