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Finding the Third Proportional to 90,531 and 133,022

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Solution

The third proportional to 90,531 and 133,022 is: 195,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,531 : 133,022 = 133,022 : x
  2. Step 2: Convert to fraction form
    90,531/133,022 = 133,022/x
  3. Step 3: Cross multiply
    90,531x = 133,022 × 133,022
  4. Step 4: Simplify right side
    90,531x = 17,694,852,484
  5. Step 5: Solve for x
    x = 17,694,852,484/90,531
  6. Step 6: Final answer
    x = 195,456.28

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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.