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Finding the Third Proportional to 91,774 and 133,667

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Solution

The third proportional to 91,774 and 133,667 is: 194,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,774 : 133,667 = 133,667 : x
  2. Step 2: Convert to fraction form
    91,774/133,667 = 133,667/x
  3. Step 3: Cross multiply
    91,774x = 133,667 × 133,667
  4. Step 4: Simplify right side
    91,774x = 17,866,866,889
  5. Step 5: Solve for x
    x = 17,866,866,889/91,774
  6. Step 6: Final answer
    x = 194,683.32

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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.