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Finding the Third Proportional to 74,560.50 and 110,382.75

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Solution

The third proportional to 74,560.50 and 110,382.75 is: 163,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,560.50 : 110,382.75 = 110,382.75 : x
  2. Step 2: Convert to fraction form
    74,560.50/110,382.75 = 110,382.75/x
  3. Step 3: Cross multiply
    74,560.50x = 110,382.75 × 110,382.75
  4. Step 4: Simplify right side
    74,560.50x = 12,184,351,497.56
  5. Step 5: Solve for x
    x = 12,184,351,497.56/74,560.50
  6. Step 6: Final answer
    x = 163,415.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.