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Finding the Third Proportional to 31,354.59 and 68,360.63

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Solution

The third proportional to 31,354.59 and 68,360.63 is: 149,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.59 : 68,360.63 = 68,360.63 : x
  2. Step 2: Convert to fraction form
    31,354.59/68,360.63 = 68,360.63/x
  3. Step 3: Cross multiply
    31,354.59x = 68,360.63 × 68,360.63
  4. Step 4: Simplify right side
    31,354.59x = 4,673,175,050.39
  5. Step 5: Solve for x
    x = 4,673,175,050.39/31,354.59
  6. Step 6: Final answer
    x = 149,042.76

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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.