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Finding the Third Proportional to 66,093 and 94,217

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Solution

The third proportional to 66,093 and 94,217 is: 134,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,093 : 94,217 = 94,217 : x
  2. Step 2: Convert to fraction form
    66,093/94,217 = 94,217/x
  3. Step 3: Cross multiply
    66,093x = 94,217 × 94,217
  4. Step 4: Simplify right side
    66,093x = 8,876,843,089
  5. Step 5: Solve for x
    x = 8,876,843,089/66,093
  6. Step 6: Final answer
    x = 134,308.37

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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.