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Finding the Third Proportional to 97,771 and 175,211

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Solution

The third proportional to 97,771 and 175,211 is: 313,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,771 : 175,211 = 175,211 : x
  2. Step 2: Convert to fraction form
    97,771/175,211 = 175,211/x
  3. Step 3: Cross multiply
    97,771x = 175,211 × 175,211
  4. Step 4: Simplify right side
    97,771x = 30,698,894,521
  5. Step 5: Solve for x
    x = 30,698,894,521/97,771
  6. Step 6: Final answer
    x = 313,987.73

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.