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Finding the Third Proportional to 65,831 and 144,207

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Solution

The third proportional to 65,831 and 144,207 is: 315,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831 : 144,207 = 144,207 : x
  2. Step 2: Convert to fraction form
    65,831/144,207 = 144,207/x
  3. Step 3: Cross multiply
    65,831x = 144,207 × 144,207
  4. Step 4: Simplify right side
    65,831x = 20,795,658,849
  5. Step 5: Solve for x
    x = 20,795,658,849/65,831
  6. Step 6: Final answer
    x = 315,894.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.