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Finding the Third Proportional to 31,457.25 and 68,451.75

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Solution

The third proportional to 31,457.25 and 68,451.75 is: 148,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.25 : 68,451.75 = 68,451.75 : x
  2. Step 2: Convert to fraction form
    31,457.25/68,451.75 = 68,451.75/x
  3. Step 3: Cross multiply
    31,457.25x = 68,451.75 × 68,451.75
  4. Step 4: Simplify right side
    31,457.25x = 4,685,642,078.06
  5. Step 5: Solve for x
    x = 4,685,642,078.06/31,457.25
  6. Step 6: Final answer
    x = 148,952.69

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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.