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Finding the Third Proportional to 72,027 and 95,577.75

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Solution

The third proportional to 72,027 and 95,577.75 is: 126,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,027 : 95,577.75 = 95,577.75 : x
  2. Step 2: Convert to fraction form
    72,027/95,577.75 = 95,577.75/x
  3. Step 3: Cross multiply
    72,027x = 95,577.75 × 95,577.75
  4. Step 4: Simplify right side
    72,027x = 9,135,106,295.06
  5. Step 5: Solve for x
    x = 9,135,106,295.06/72,027
  6. Step 6: Final answer
    x = 126,828.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.