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Finding the Third Proportional to 64,002 and 135,384

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Solution

The third proportional to 64,002 and 135,384 is: 286,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002 : 135,384 = 135,384 : x
  2. Step 2: Convert to fraction form
    64,002/135,384 = 135,384/x
  3. Step 3: Cross multiply
    64,002x = 135,384 × 135,384
  4. Step 4: Simplify right side
    64,002x = 18,328,827,456
  5. Step 5: Solve for x
    x = 18,328,827,456/64,002
  6. Step 6: Final answer
    x = 286,378.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.