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Finding the Third Proportional to 40,520.75 and 88,134.25

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Solution

The third proportional to 40,520.75 and 88,134.25 is: 191,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,520.75 : 88,134.25 = 88,134.25 : x
  2. Step 2: Convert to fraction form
    40,520.75/88,134.25 = 88,134.25/x
  3. Step 3: Cross multiply
    40,520.75x = 88,134.25 × 88,134.25
  4. Step 4: Simplify right side
    40,520.75x = 7,767,646,023.06
  5. Step 5: Solve for x
    x = 7,767,646,023.06/40,520.75
  6. Step 6: Final answer
    x = 191,695.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.