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Finding the Third Proportional to 79,554 and 173,307

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Solution

The third proportional to 79,554 and 173,307 is: 377,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,554 : 173,307 = 173,307 : x
  2. Step 2: Convert to fraction form
    79,554/173,307 = 173,307/x
  3. Step 3: Cross multiply
    79,554x = 173,307 × 173,307
  4. Step 4: Simplify right side
    79,554x = 30,035,316,249
  5. Step 5: Solve for x
    x = 30,035,316,249/79,554
  6. Step 6: Final answer
    x = 377,546.27

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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.