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Finding the Third Proportional to 66,017 and 91,843

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Solution

The third proportional to 66,017 and 91,843 is: 127,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,017 : 91,843 = 91,843 : x
  2. Step 2: Convert to fraction form
    66,017/91,843 = 91,843/x
  3. Step 3: Cross multiply
    66,017x = 91,843 × 91,843
  4. Step 4: Simplify right side
    66,017x = 8,435,136,649
  5. Step 5: Solve for x
    x = 8,435,136,649/66,017
  6. Step 6: Final answer
    x = 127,772.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.