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Finding the Third Proportional to 76,199 and 175,249

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Solution

The third proportional to 76,199 and 175,249 is: 403,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,199 : 175,249 = 175,249 : x
  2. Step 2: Convert to fraction form
    76,199/175,249 = 175,249/x
  3. Step 3: Cross multiply
    76,199x = 175,249 × 175,249
  4. Step 4: Simplify right side
    76,199x = 30,712,212,001
  5. Step 5: Solve for x
    x = 30,712,212,001/76,199
  6. Step 6: Final answer
    x = 403,052.69

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.