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Finding the Third Proportional to 31,272.75 and 68,385.94

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Solution

The third proportional to 31,272.75 and 68,385.94 is: 149,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272.75 : 68,385.94 = 68,385.94 : x
  2. Step 2: Convert to fraction form
    31,272.75/68,385.94 = 68,385.94/x
  3. Step 3: Cross multiply
    31,272.75x = 68,385.94 × 68,385.94
  4. Step 4: Simplify right side
    31,272.75x = 4,676,636,447.75
  5. Step 5: Solve for x
    x = 4,676,636,447.75/31,272.75
  6. Step 6: Final answer
    x = 149,543.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.