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Finding the Third Proportional to 90,252 and 195,570

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Solution

The third proportional to 90,252 and 195,570 is: 423,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,252 : 195,570 = 195,570 : x
  2. Step 2: Convert to fraction form
    90,252/195,570 = 195,570/x
  3. Step 3: Cross multiply
    90,252x = 195,570 × 195,570
  4. Step 4: Simplify right side
    90,252x = 38,247,624,900
  5. Step 5: Solve for x
    x = 38,247,624,900/90,252
  6. Step 6: Final answer
    x = 423,787.01

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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.