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Finding the Third Proportional to 80,681.50 and 175,355

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Solution

The third proportional to 80,681.50 and 175,355 is: 381,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,681.50 : 175,355 = 175,355 : x
  2. Step 2: Convert to fraction form
    80,681.50/175,355 = 175,355/x
  3. Step 3: Cross multiply
    80,681.50x = 175,355 × 175,355
  4. Step 4: Simplify right side
    80,681.50x = 30,749,376,025
  5. Step 5: Solve for x
    x = 30,749,376,025/80,681.50
  6. Step 6: Final answer
    x = 381,120.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.