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Finding the Third Proportional to 90,412 and 133,774

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Solution

The third proportional to 90,412 and 133,774 is: 197,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,412 : 133,774 = 133,774 : x
  2. Step 2: Convert to fraction form
    90,412/133,774 = 133,774/x
  3. Step 3: Cross multiply
    90,412x = 133,774 × 133,774
  4. Step 4: Simplify right side
    90,412x = 17,895,483,076
  5. Step 5: Solve for x
    x = 17,895,483,076/90,412
  6. Step 6: Final answer
    x = 197,932.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.