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Finding the Third Proportional to 78,770.75 and 172,849.25

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Solution

The third proportional to 78,770.75 and 172,849.25 is: 379,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.75 : 172,849.25 = 172,849.25 : x
  2. Step 2: Convert to fraction form
    78,770.75/172,849.25 = 172,849.25/x
  3. Step 3: Cross multiply
    78,770.75x = 172,849.25 × 172,849.25
  4. Step 4: Simplify right side
    78,770.75x = 29,876,863,225.56
  5. Step 5: Solve for x
    x = 29,876,863,225.56/78,770.75
  6. Step 6: Final answer
    x = 379,288.80

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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.