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Finding the Third Proportional to 90,768 and 133,233

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Solution

The third proportional to 90,768 and 133,233 is: 195,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,768 : 133,233 = 133,233 : x
  2. Step 2: Convert to fraction form
    90,768/133,233 = 133,233/x
  3. Step 3: Cross multiply
    90,768x = 133,233 × 133,233
  4. Step 4: Simplify right side
    90,768x = 17,751,032,289
  5. Step 5: Solve for x
    x = 17,751,032,289/90,768
  6. Step 6: Final answer
    x = 195,564.87

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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.