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Finding the Third Proportional to 104,473 and 225,571

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Solution

The third proportional to 104,473 and 225,571 is: 487,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,473 : 225,571 = 225,571 : x
  2. Step 2: Convert to fraction form
    104,473/225,571 = 225,571/x
  3. Step 3: Cross multiply
    104,473x = 225,571 × 225,571
  4. Step 4: Simplify right side
    104,473x = 50,882,276,041
  5. Step 5: Solve for x
    x = 50,882,276,041/104,473
  6. Step 6: Final answer
    x = 487,037.57

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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.