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Finding the Third Proportional to 90,783 and 140,004

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Solution

The third proportional to 90,783 and 140,004 is: 215,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783 : 140,004 = 140,004 : x
  2. Step 2: Convert to fraction form
    90,783/140,004 = 140,004/x
  3. Step 3: Cross multiply
    90,783x = 140,004 × 140,004
  4. Step 4: Simplify right side
    90,783x = 19,601,120,016
  5. Step 5: Solve for x
    x = 19,601,120,016/90,783
  6. Step 6: Final answer
    x = 215,911.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.