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Finding the Third Proportional to 81,296 and 175,552

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Solution

The third proportional to 81,296 and 175,552 is: 379,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,296 : 175,552 = 175,552 : x
  2. Step 2: Convert to fraction form
    81,296/175,552 = 175,552/x
  3. Step 3: Cross multiply
    81,296x = 175,552 × 175,552
  4. Step 4: Simplify right side
    81,296x = 30,818,504,704
  5. Step 5: Solve for x
    x = 30,818,504,704/81,296
  6. Step 6: Final answer
    x = 379,090.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.