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Finding the Third Proportional to 79,544 and 173,155

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Solution

The third proportional to 79,544 and 173,155 is: 376,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,544 : 173,155 = 173,155 : x
  2. Step 2: Convert to fraction form
    79,544/173,155 = 173,155/x
  3. Step 3: Cross multiply
    79,544x = 173,155 × 173,155
  4. Step 4: Simplify right side
    79,544x = 29,982,654,025
  5. Step 5: Solve for x
    x = 29,982,654,025/79,544
  6. Step 6: Final answer
    x = 376,931.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.