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Finding the Third Proportional to 70,227.75 and 114,091.88

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Solution

The third proportional to 70,227.75 and 114,091.88 is: 185,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,227.75 : 114,091.88 = 114,091.88 : x
  2. Step 2: Convert to fraction form
    70,227.75/114,091.88 = 114,091.88/x
  3. Step 3: Cross multiply
    70,227.75x = 114,091.88 × 114,091.88
  4. Step 4: Simplify right side
    70,227.75x = 13,016,955,941.02
  5. Step 5: Solve for x
    x = 13,016,955,941.02/70,227.75
  6. Step 6: Final answer
    x = 185,353.45

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.