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Finding the Third Proportional to 90,828 and 193,752

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Solution

The third proportional to 90,828 and 193,752 is: 413,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,828 : 193,752 = 193,752 : x
  2. Step 2: Convert to fraction form
    90,828/193,752 = 193,752/x
  3. Step 3: Cross multiply
    90,828x = 193,752 × 193,752
  4. Step 4: Simplify right side
    90,828x = 37,539,837,504
  5. Step 5: Solve for x
    x = 37,539,837,504/90,828
  6. Step 6: Final answer
    x = 413,306.88

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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.