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Finding the Third Proportional to 65,945 and 145,336

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Solution

The third proportional to 65,945 and 145,336 is: 320,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,945 : 145,336 = 145,336 : x
  2. Step 2: Convert to fraction form
    65,945/145,336 = 145,336/x
  3. Step 3: Cross multiply
    65,945x = 145,336 × 145,336
  4. Step 4: Simplify right side
    65,945x = 21,122,552,896
  5. Step 5: Solve for x
    x = 21,122,552,896/65,945
  6. Step 6: Final answer
    x = 320,305.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.