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Finding the Third Proportional to 64,384 and 96,204

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Solution

The third proportional to 64,384 and 96,204 is: 143,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384 : 96,204 = 96,204 : x
  2. Step 2: Convert to fraction form
    64,384/96,204 = 96,204/x
  3. Step 3: Cross multiply
    64,384x = 96,204 × 96,204
  4. Step 4: Simplify right side
    64,384x = 9,255,209,616
  5. Step 5: Solve for x
    x = 9,255,209,616/64,384
  6. Step 6: Final answer
    x = 143,750.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.