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Finding the Third Proportional to 90,828 and 117,924

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Solution

The third proportional to 90,828 and 117,924 is: 153,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,828 : 117,924 = 117,924 : x
  2. Step 2: Convert to fraction form
    90,828/117,924 = 117,924/x
  3. Step 3: Cross multiply
    90,828x = 117,924 × 117,924
  4. Step 4: Simplify right side
    90,828x = 13,906,069,776
  5. Step 5: Solve for x
    x = 13,906,069,776/90,828
  6. Step 6: Final answer
    x = 153,103.34

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.