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Finding the Third Proportional to 31,112 and 67,138

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Solution

The third proportional to 31,112 and 67,138 is: 144,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112 : 67,138 = 67,138 : x
  2. Step 2: Convert to fraction form
    31,112/67,138 = 67,138/x
  3. Step 3: Cross multiply
    31,112x = 67,138 × 67,138
  4. Step 4: Simplify right side
    31,112x = 4,507,511,044
  5. Step 5: Solve for x
    x = 4,507,511,044/31,112
  6. Step 6: Final answer
    x = 144,880.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.