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Finding the Third Proportional to 96,444 and 140,895

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Solution

The third proportional to 96,444 and 140,895 is: 205,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,444 : 140,895 = 140,895 : x
  2. Step 2: Convert to fraction form
    96,444/140,895 = 140,895/x
  3. Step 3: Cross multiply
    96,444x = 140,895 × 140,895
  4. Step 4: Simplify right side
    96,444x = 19,851,401,025
  5. Step 5: Solve for x
    x = 19,851,401,025/96,444
  6. Step 6: Final answer
    x = 205,833.45

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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.