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Finding the Third Proportional to 64,384 and 136,008

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Solution

The third proportional to 64,384 and 136,008 is: 287,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384 : 136,008 = 136,008 : x
  2. Step 2: Convert to fraction form
    64,384/136,008 = 136,008/x
  3. Step 3: Cross multiply
    64,384x = 136,008 × 136,008
  4. Step 4: Simplify right side
    64,384x = 18,498,176,064
  5. Step 5: Solve for x
    x = 18,498,176,064/64,384
  6. Step 6: Final answer
    x = 287,310.14

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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.