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Finding the Third Proportional to 65,001 and 140,662.50

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Solution

The third proportional to 65,001 and 140,662.50 is: 304,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001 : 140,662.50 = 140,662.50 : x
  2. Step 2: Convert to fraction form
    65,001/140,662.50 = 140,662.50/x
  3. Step 3: Cross multiply
    65,001x = 140,662.50 × 140,662.50
  4. Step 4: Simplify right side
    65,001x = 19,785,938,906.25
  5. Step 5: Solve for x
    x = 19,785,938,906.25/65,001
  6. Step 6: Final answer
    x = 304,394.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.