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Finding the Third Proportional to 66,008 and 94,589

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Solution

The third proportional to 66,008 and 94,589 is: 135,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008 : 94,589 = 94,589 : x
  2. Step 2: Convert to fraction form
    66,008/94,589 = 94,589/x
  3. Step 3: Cross multiply
    66,008x = 94,589 × 94,589
  4. Step 4: Simplify right side
    66,008x = 8,947,078,921
  5. Step 5: Solve for x
    x = 8,947,078,921/66,008
  6. Step 6: Final answer
    x = 135,545.37

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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.