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Finding the Third Proportional to 65,001 and 95,040

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Solution

The third proportional to 65,001 and 95,040 is: 138,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001 : 95,040 = 95,040 : x
  2. Step 2: Convert to fraction form
    65,001/95,040 = 95,040/x
  3. Step 3: Cross multiply
    65,001x = 95,040 × 95,040
  4. Step 4: Simplify right side
    65,001x = 9,032,601,600
  5. Step 5: Solve for x
    x = 9,032,601,600/65,001
  6. Step 6: Final answer
    x = 138,960.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.