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Finding the Third Proportional to 64,370 and 135,976

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Solution

The third proportional to 64,370 and 135,976 is: 287,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,370 : 135,976 = 135,976 : x
  2. Step 2: Convert to fraction form
    64,370/135,976 = 135,976/x
  3. Step 3: Cross multiply
    64,370x = 135,976 × 135,976
  4. Step 4: Simplify right side
    64,370x = 18,489,472,576
  5. Step 5: Solve for x
    x = 18,489,472,576/64,370
  6. Step 6: Final answer
    x = 287,237.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.