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Finding the Third Proportional to 72,022.75 and 109,027.88

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Solution

The third proportional to 72,022.75 and 109,027.88 is: 165,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,022.75 : 109,027.88 = 109,027.88 : x
  2. Step 2: Convert to fraction form
    72,022.75/109,027.88 = 109,027.88/x
  3. Step 3: Cross multiply
    72,022.75x = 109,027.88 × 109,027.88
  4. Step 4: Simplify right side
    72,022.75x = 11,887,077,527.02
  5. Step 5: Solve for x
    x = 11,887,077,527.02/72,022.75
  6. Step 6: Final answer
    x = 165,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.