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Finding the Third Proportional to 95,210 and 225,570

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Solution

The third proportional to 95,210 and 225,570 is: 534,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,210 : 225,570 = 225,570 : x
  2. Step 2: Convert to fraction form
    95,210/225,570 = 225,570/x
  3. Step 3: Cross multiply
    95,210x = 225,570 × 225,570
  4. Step 4: Simplify right side
    95,210x = 50,881,824,900
  5. Step 5: Solve for x
    x = 50,881,824,900/95,210
  6. Step 6: Final answer
    x = 534,416.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.