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Finding the Third Proportional to 67,094 and 137,101

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Solution

The third proportional to 67,094 and 137,101 is: 280,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,094 : 137,101 = 137,101 : x
  2. Step 2: Convert to fraction form
    67,094/137,101 = 137,101/x
  3. Step 3: Cross multiply
    67,094x = 137,101 × 137,101
  4. Step 4: Simplify right side
    67,094x = 18,796,684,201
  5. Step 5: Solve for x
    x = 18,796,684,201/67,094
  6. Step 6: Final answer
    x = 280,154.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.