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Finding the Third Proportional to 66,069 and 94,689

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Solution

The third proportional to 66,069 and 94,689 is: 135,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,069 : 94,689 = 94,689 : x
  2. Step 2: Convert to fraction form
    66,069/94,689 = 94,689/x
  3. Step 3: Cross multiply
    66,069x = 94,689 × 94,689
  4. Step 4: Simplify right side
    66,069x = 8,966,006,721
  5. Step 5: Solve for x
    x = 8,966,006,721/66,069
  6. Step 6: Final answer
    x = 135,706.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.