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Finding the Third Proportional to 66,665 and 93,759

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Solution

The third proportional to 66,665 and 93,759 is: 131,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,665 : 93,759 = 93,759 : x
  2. Step 2: Convert to fraction form
    66,665/93,759 = 93,759/x
  3. Step 3: Cross multiply
    66,665x = 93,759 × 93,759
  4. Step 4: Simplify right side
    66,665x = 8,790,750,081
  5. Step 5: Solve for x
    x = 8,790,750,081/66,665
  6. Step 6: Final answer
    x = 131,864.55

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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.