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Finding the Third Proportional to 73,399.50 and 154,680.75

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Solution

The third proportional to 73,399.50 and 154,680.75 is: 325,971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,399.50 : 154,680.75 = 154,680.75 : x
  2. Step 2: Convert to fraction form
    73,399.50/154,680.75 = 154,680.75/x
  3. Step 3: Cross multiply
    73,399.50x = 154,680.75 × 154,680.75
  4. Step 4: Simplify right side
    73,399.50x = 23,926,134,420.56
  5. Step 5: Solve for x
    x = 23,926,134,420.56/73,399.50
  6. Step 6: Final answer
    x = 325,971.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.