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Finding the Third Proportional to 64,064 and 137,601

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Solution

The third proportional to 64,064 and 137,601 is: 295,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,064 : 137,601 = 137,601 : x
  2. Step 2: Convert to fraction form
    64,064/137,601 = 137,601/x
  3. Step 3: Cross multiply
    64,064x = 137,601 × 137,601
  4. Step 4: Simplify right side
    64,064x = 18,934,035,201
  5. Step 5: Solve for x
    x = 18,934,035,201/64,064
  6. Step 6: Final answer
    x = 295,548.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.