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Finding the Third Proportional to 31,194.56 and 67,059.56

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Solution

The third proportional to 31,194.56 and 67,059.56 is: 144,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.56 : 67,059.56 = 67,059.56 : x
  2. Step 2: Convert to fraction form
    31,194.56/67,059.56 = 67,059.56/x
  3. Step 3: Cross multiply
    31,194.56x = 67,059.56 × 67,059.56
  4. Step 4: Simplify right side
    31,194.56x = 4,496,984,922.69
  5. Step 5: Solve for x
    x = 4,496,984,922.69/31,194.56
  6. Step 6: Final answer
    x = 144,159.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.