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Finding the Third Proportional to 90,483.75 and 133,091.44

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Solution

The third proportional to 90,483.75 and 133,091.44 is: 195,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,483.75 : 133,091.44 = 133,091.44 : x
  2. Step 2: Convert to fraction form
    90,483.75/133,091.44 = 133,091.44/x
  3. Step 3: Cross multiply
    90,483.75x = 133,091.44 × 133,091.44
  4. Step 4: Simplify right side
    90,483.75x = 17,713,330,735.82
  5. Step 5: Solve for x
    x = 17,713,330,735.82/90,483.75
  6. Step 6: Final answer
    x = 195,762.56

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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.