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Finding the Third Proportional to 90,026 and 191,150

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Solution

The third proportional to 90,026 and 191,150 is: 405,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,026 : 191,150 = 191,150 : x
  2. Step 2: Convert to fraction form
    90,026/191,150 = 191,150/x
  3. Step 3: Cross multiply
    90,026x = 191,150 × 191,150
  4. Step 4: Simplify right side
    90,026x = 36,538,322,500
  5. Step 5: Solve for x
    x = 36,538,322,500/90,026
  6. Step 6: Final answer
    x = 405,864.11

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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.