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Finding the Third Proportional to 79,974.50 and 175,015

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Solution

The third proportional to 79,974.50 and 175,015 is: 383,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,974.50 : 175,015 = 175,015 : x
  2. Step 2: Convert to fraction form
    79,974.50/175,015 = 175,015/x
  3. Step 3: Cross multiply
    79,974.50x = 175,015 × 175,015
  4. Step 4: Simplify right side
    79,974.50x = 30,630,250,225
  5. Step 5: Solve for x
    x = 30,630,250,225/79,974.50
  6. Step 6: Final answer
    x = 383,000.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.