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Finding the Third Proportional to 96,228 and 139,968

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Solution

The third proportional to 96,228 and 139,968 is: 203,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,228 : 139,968 = 139,968 : x
  2. Step 2: Convert to fraction form
    96,228/139,968 = 139,968/x
  3. Step 3: Cross multiply
    96,228x = 139,968 × 139,968
  4. Step 4: Simplify right side
    96,228x = 19,591,041,024
  5. Step 5: Solve for x
    x = 19,591,041,024/96,228
  6. Step 6: Final answer
    x = 203,589.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.