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Finding the Third Proportional to 66,849 and 94,056

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Solution

The third proportional to 66,849 and 94,056 is: 132,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,849 : 94,056 = 94,056 : x
  2. Step 2: Convert to fraction form
    66,849/94,056 = 94,056/x
  3. Step 3: Cross multiply
    66,849x = 94,056 × 94,056
  4. Step 4: Simplify right side
    66,849x = 8,846,531,136
  5. Step 5: Solve for x
    x = 8,846,531,136/66,849
  6. Step 6: Final answer
    x = 132,336.03

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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.