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Finding the Third Proportional to 70,940.81 and 105,796.13

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Solution

The third proportional to 70,940.81 and 105,796.13 is: 157,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.81 : 105,796.13 = 105,796.13 : x
  2. Step 2: Convert to fraction form
    70,940.81/105,796.13 = 105,796.13/x
  3. Step 3: Cross multiply
    70,940.81x = 105,796.13 × 105,796.13
  4. Step 4: Simplify right side
    70,940.81x = 11,192,820,065.02
  5. Step 5: Solve for x
    x = 11,192,820,065.02/70,940.81
  6. Step 6: Final answer
    x = 157,776.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.