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Finding the Third Proportional to 90,976 and 133,862

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Solution

The third proportional to 90,976 and 133,862 is: 196,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,976 : 133,862 = 133,862 : x
  2. Step 2: Convert to fraction form
    90,976/133,862 = 133,862/x
  3. Step 3: Cross multiply
    90,976x = 133,862 × 133,862
  4. Step 4: Simplify right side
    90,976x = 17,919,035,044
  5. Step 5: Solve for x
    x = 17,919,035,044/90,976
  6. Step 6: Final answer
    x = 196,964.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.