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Finding the Third Proportional to 66,014 and 89,694

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Solution

The third proportional to 66,014 and 89,694 is: 121,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,014 : 89,694 = 89,694 : x
  2. Step 2: Convert to fraction form
    66,014/89,694 = 89,694/x
  3. Step 3: Cross multiply
    66,014x = 89,694 × 89,694
  4. Step 4: Simplify right side
    66,014x = 8,045,013,636
  5. Step 5: Solve for x
    x = 8,045,013,636/66,014
  6. Step 6: Final answer
    x = 121,868.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.