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Finding the Third Proportional to 102,571 and 215,509

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Solution

The third proportional to 102,571 and 215,509 is: 452,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571 : 215,509 = 215,509 : x
  2. Step 2: Convert to fraction form
    102,571/215,509 = 215,509/x
  3. Step 3: Cross multiply
    102,571x = 215,509 × 215,509
  4. Step 4: Simplify right side
    102,571x = 46,444,129,081
  5. Step 5: Solve for x
    x = 46,444,129,081/102,571
  6. Step 6: Final answer
    x = 452,799.81

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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.