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Finding the Third Proportional to 91,424 and 185,392

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Solution

The third proportional to 91,424 and 185,392 is: 375,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,424 : 185,392 = 185,392 : x
  2. Step 2: Convert to fraction form
    91,424/185,392 = 185,392/x
  3. Step 3: Cross multiply
    91,424x = 185,392 × 185,392
  4. Step 4: Simplify right side
    91,424x = 34,370,193,664
  5. Step 5: Solve for x
    x = 34,370,193,664/91,424
  6. Step 6: Final answer
    x = 375,942.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.