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Finding the Third Proportional to 80,846.25 and 170,072.25

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Solution

The third proportional to 80,846.25 and 170,072.25 is: 357,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,846.25 : 170,072.25 = 170,072.25 : x
  2. Step 2: Convert to fraction form
    80,846.25/170,072.25 = 170,072.25/x
  3. Step 3: Cross multiply
    80,846.25x = 170,072.25 × 170,072.25
  4. Step 4: Simplify right side
    80,846.25x = 28,924,570,220.06
  5. Step 5: Solve for x
    x = 28,924,570,220.06/80,846.25
  6. Step 6: Final answer
    x = 357,772.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.