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Finding the Third Proportional to 73,864 and 114,589

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Solution

The third proportional to 73,864 and 114,589 is: 177,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,864 : 114,589 = 114,589 : x
  2. Step 2: Convert to fraction form
    73,864/114,589 = 114,589/x
  3. Step 3: Cross multiply
    73,864x = 114,589 × 114,589
  4. Step 4: Simplify right side
    73,864x = 13,130,638,921
  5. Step 5: Solve for x
    x = 13,130,638,921/73,864
  6. Step 6: Final answer
    x = 177,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.