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Finding the Third Proportional to 64,101.75 and 140,270.25

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Solution

The third proportional to 64,101.75 and 140,270.25 is: 306,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101.75 : 140,270.25 = 140,270.25 : x
  2. Step 2: Convert to fraction form
    64,101.75/140,270.25 = 140,270.25/x
  3. Step 3: Cross multiply
    64,101.75x = 140,270.25 × 140,270.25
  4. Step 4: Simplify right side
    64,101.75x = 19,675,743,035.06
  5. Step 5: Solve for x
    x = 19,675,743,035.06/64,101.75
  6. Step 6: Final answer
    x = 306,945.49

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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.