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Finding the Third Proportional to 128,102 and 204,644

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Solution

The third proportional to 128,102 and 204,644 is: 326,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,102 : 204,644 = 204,644 : x
  2. Step 2: Convert to fraction form
    128,102/204,644 = 204,644/x
  3. Step 3: Cross multiply
    128,102x = 204,644 × 204,644
  4. Step 4: Simplify right side
    128,102x = 41,879,166,736
  5. Step 5: Solve for x
    x = 41,879,166,736/128,102
  6. Step 6: Final answer
    x = 326,920.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.