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Finding the Third Proportional to 75,450.66 and 157,099.50

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Solution

The third proportional to 75,450.66 and 157,099.50 is: 327,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,450.66 : 157,099.50 = 157,099.50 : x
  2. Step 2: Convert to fraction form
    75,450.66/157,099.50 = 157,099.50/x
  3. Step 3: Cross multiply
    75,450.66x = 157,099.50 × 157,099.50
  4. Step 4: Simplify right side
    75,450.66x = 24,680,252,900.25
  5. Step 5: Solve for x
    x = 24,680,252,900.25/75,450.66
  6. Step 6: Final answer
    x = 327,104.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.