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Finding the Third Proportional to 66,208 and 92,612

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Solution

The third proportional to 66,208 and 92,612 is: 129,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,208 : 92,612 = 92,612 : x
  2. Step 2: Convert to fraction form
    66,208/92,612 = 92,612/x
  3. Step 3: Cross multiply
    66,208x = 92,612 × 92,612
  4. Step 4: Simplify right side
    66,208x = 8,576,982,544
  5. Step 5: Solve for x
    x = 8,576,982,544/66,208
  6. Step 6: Final answer
    x = 129,546.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.