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Finding the Third Proportional to 31,094 and 67,100

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Solution

The third proportional to 31,094 and 67,100 is: 144,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094 : 67,100 = 67,100 : x
  2. Step 2: Convert to fraction form
    31,094/67,100 = 67,100/x
  3. Step 3: Cross multiply
    31,094x = 67,100 × 67,100
  4. Step 4: Simplify right side
    31,094x = 4,502,410,000
  5. Step 5: Solve for x
    x = 4,502,410,000/31,094
  6. Step 6: Final answer
    x = 144,799.96

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Why These Related Problems?

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