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Finding the Third Proportional to 79,051.50 and 171,225

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Solution

The third proportional to 79,051.50 and 171,225 is: 370,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,051.50 : 171,225 = 171,225 : x
  2. Step 2: Convert to fraction form
    79,051.50/171,225 = 171,225/x
  3. Step 3: Cross multiply
    79,051.50x = 171,225 × 171,225
  4. Step 4: Simplify right side
    79,051.50x = 29,318,000,625
  5. Step 5: Solve for x
    x = 29,318,000,625/79,051.50
  6. Step 6: Final answer
    x = 370,872.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.