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Finding the Third Proportional to 96,444 and 140,898

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Solution

The third proportional to 96,444 and 140,898 is: 205,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,444 : 140,898 = 140,898 : x
  2. Step 2: Convert to fraction form
    96,444/140,898 = 140,898/x
  3. Step 3: Cross multiply
    96,444x = 140,898 × 140,898
  4. Step 4: Simplify right side
    96,444x = 19,852,246,404
  5. Step 5: Solve for x
    x = 19,852,246,404/96,444
  6. Step 6: Final answer
    x = 205,842.21

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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.