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Finding the Third Proportional to 66,744 and 93,879

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Solution

The third proportional to 66,744 and 93,879 is: 132,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,744 : 93,879 = 93,879 : x
  2. Step 2: Convert to fraction form
    66,744/93,879 = 93,879/x
  3. Step 3: Cross multiply
    66,744x = 93,879 × 93,879
  4. Step 4: Simplify right side
    66,744x = 8,813,266,641
  5. Step 5: Solve for x
    x = 8,813,266,641/66,744
  6. Step 6: Final answer
    x = 132,045.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.