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Finding the Third Proportional to 90,572 and 192,156

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Solution

The third proportional to 90,572 and 192,156 is: 407,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,572 : 192,156 = 192,156 : x
  2. Step 2: Convert to fraction form
    90,572/192,156 = 192,156/x
  3. Step 3: Cross multiply
    90,572x = 192,156 × 192,156
  4. Step 4: Simplify right side
    90,572x = 36,923,928,336
  5. Step 5: Solve for x
    x = 36,923,928,336/90,572
  6. Step 6: Final answer
    x = 407,674.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.