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Finding the Third Proportional to 90,168 and 193,624

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Solution

The third proportional to 90,168 and 193,624 is: 415,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,168 : 193,624 = 193,624 : x
  2. Step 2: Convert to fraction form
    90,168/193,624 = 193,624/x
  3. Step 3: Cross multiply
    90,168x = 193,624 × 193,624
  4. Step 4: Simplify right side
    90,168x = 37,490,253,376
  5. Step 5: Solve for x
    x = 37,490,253,376/90,168
  6. Step 6: Final answer
    x = 415,782.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.