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Finding the Third Proportional to 96,008 and 143,012

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Solution

The third proportional to 96,008 and 143,012 is: 213,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,008 : 143,012 = 143,012 : x
  2. Step 2: Convert to fraction form
    96,008/143,012 = 143,012/x
  3. Step 3: Cross multiply
    96,008x = 143,012 × 143,012
  4. Step 4: Simplify right side
    96,008x = 20,452,432,144
  5. Step 5: Solve for x
    x = 20,452,432,144/96,008
  6. Step 6: Final answer
    x = 213,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.