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Finding the Third Proportional to 67,098 and 137,109

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Solution

The third proportional to 67,098 and 137,109 is: 280,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,098 : 137,109 = 137,109 : x
  2. Step 2: Convert to fraction form
    67,098/137,109 = 137,109/x
  3. Step 3: Cross multiply
    67,098x = 137,109 × 137,109
  4. Step 4: Simplify right side
    67,098x = 18,798,877,881
  5. Step 5: Solve for x
    x = 18,798,877,881/67,098
  6. Step 6: Final answer
    x = 280,170.47

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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.