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Finding the Third Proportional to 87,716 and 190,210

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Solution

The third proportional to 87,716 and 190,210 is: 412,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,716 : 190,210 = 190,210 : x
  2. Step 2: Convert to fraction form
    87,716/190,210 = 190,210/x
  3. Step 3: Cross multiply
    87,716x = 190,210 × 190,210
  4. Step 4: Simplify right side
    87,716x = 36,179,844,100
  5. Step 5: Solve for x
    x = 36,179,844,100/87,716
  6. Step 6: Final answer
    x = 412,465.73

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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.