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Finding the Third Proportional to 91,968 and 133,956

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Solution

The third proportional to 91,968 and 133,956 is: 195,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,968 : 133,956 = 133,956 : x
  2. Step 2: Convert to fraction form
    91,968/133,956 = 133,956/x
  3. Step 3: Cross multiply
    91,968x = 133,956 × 133,956
  4. Step 4: Simplify right side
    91,968x = 17,944,209,936
  5. Step 5: Solve for x
    x = 17,944,209,936/91,968
  6. Step 6: Final answer
    x = 195,113.63

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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.