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Finding the Third Proportional to 74,554 and 115,183.50

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Solution

The third proportional to 74,554 and 115,183.50 is: 177,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,554 : 115,183.50 = 115,183.50 : x
  2. Step 2: Convert to fraction form
    74,554/115,183.50 = 115,183.50/x
  3. Step 3: Cross multiply
    74,554x = 115,183.50 × 115,183.50
  4. Step 4: Simplify right side
    74,554x = 13,267,238,672.25
  5. Step 5: Solve for x
    x = 13,267,238,672.25/74,554
  6. Step 6: Final answer
    x = 177,954.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.