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Finding the Third Proportional to 90,481.50 and 133,089

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Solution

The third proportional to 90,481.50 and 133,089 is: 195,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,481.50 : 133,089 = 133,089 : x
  2. Step 2: Convert to fraction form
    90,481.50/133,089 = 133,089/x
  3. Step 3: Cross multiply
    90,481.50x = 133,089 × 133,089
  4. Step 4: Simplify right side
    90,481.50x = 17,712,681,921
  5. Step 5: Solve for x
    x = 17,712,681,921/90,481.50
  6. Step 6: Final answer
    x = 195,760.26

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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.