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Finding the Third Proportional to 89,048 and 193,552

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Solution

The third proportional to 89,048 and 193,552 is: 420,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,048 : 193,552 = 193,552 : x
  2. Step 2: Convert to fraction form
    89,048/193,552 = 193,552/x
  3. Step 3: Cross multiply
    89,048x = 193,552 × 193,552
  4. Step 4: Simplify right side
    89,048x = 37,462,376,704
  5. Step 5: Solve for x
    x = 37,462,376,704/89,048
  6. Step 6: Final answer
    x = 420,698.69

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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.