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Finding the Third Proportional to 90,078 and 191,820

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Solution

The third proportional to 90,078 and 191,820 is: 408,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,078 : 191,820 = 191,820 : x
  2. Step 2: Convert to fraction form
    90,078/191,820 = 191,820/x
  3. Step 3: Cross multiply
    90,078x = 191,820 × 191,820
  4. Step 4: Simplify right side
    90,078x = 36,794,912,400
  5. Step 5: Solve for x
    x = 36,794,912,400/90,078
  6. Step 6: Final answer
    x = 408,478.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.