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Finding the Third Proportional to 86,524 and 191,835

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Solution

The third proportional to 86,524 and 191,835 is: 425,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,524 : 191,835 = 191,835 : x
  2. Step 2: Convert to fraction form
    86,524/191,835 = 191,835/x
  3. Step 3: Cross multiply
    86,524x = 191,835 × 191,835
  4. Step 4: Simplify right side
    86,524x = 36,800,667,225
  5. Step 5: Solve for x
    x = 36,800,667,225/86,524
  6. Step 6: Final answer
    x = 425,323.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.