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Finding the Third Proportional to 75,934.75 and 175,790

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Solution

The third proportional to 75,934.75 and 175,790 is: 406,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,934.75 : 175,790 = 175,790 : x
  2. Step 2: Convert to fraction form
    75,934.75/175,790 = 175,790/x
  3. Step 3: Cross multiply
    75,934.75x = 175,790 × 175,790
  4. Step 4: Simplify right side
    75,934.75x = 30,902,124,100
  5. Step 5: Solve for x
    x = 30,902,124,100/75,934.75
  6. Step 6: Final answer
    x = 406,956.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.