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Finding the Third Proportional to 73,719 and 116,916

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Solution

The third proportional to 73,719 and 116,916 is: 185,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,719 : 116,916 = 116,916 : x
  2. Step 2: Convert to fraction form
    73,719/116,916 = 116,916/x
  3. Step 3: Cross multiply
    73,719x = 116,916 × 116,916
  4. Step 4: Simplify right side
    73,719x = 13,669,351,056
  5. Step 5: Solve for x
    x = 13,669,351,056/73,719
  6. Step 6: Final answer
    x = 185,425.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.