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Finding the Third Proportional to 96,001 and 145,324

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Solution

The third proportional to 96,001 and 145,324 is: 219,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,001 : 145,324 = 145,324 : x
  2. Step 2: Convert to fraction form
    96,001/145,324 = 145,324/x
  3. Step 3: Cross multiply
    96,001x = 145,324 × 145,324
  4. Step 4: Simplify right side
    96,001x = 21,119,064,976
  5. Step 5: Solve for x
    x = 21,119,064,976/96,001
  6. Step 6: Final answer
    x = 219,987.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.