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Finding the Third Proportional to 137,665 and 193,865

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Solution

The third proportional to 137,665 and 193,865 is: 273,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,665 : 193,865 = 193,865 : x
  2. Step 2: Convert to fraction form
    137,665/193,865 = 193,865/x
  3. Step 3: Cross multiply
    137,665x = 193,865 × 193,865
  4. Step 4: Simplify right side
    137,665x = 37,583,638,225
  5. Step 5: Solve for x
    x = 37,583,638,225/137,665
  6. Step 6: Final answer
    x = 273,007.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.