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Finding the Third Proportional to 75,450.94 and 157,100.06

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Solution

The third proportional to 75,450.94 and 157,100.06 is: 327,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,450.94 : 157,100.06 = 157,100.06 : x
  2. Step 2: Convert to fraction form
    75,450.94/157,100.06 = 157,100.06/x
  3. Step 3: Cross multiply
    75,450.94x = 157,100.06 × 157,100.06
  4. Step 4: Simplify right side
    75,450.94x = 24,680,429,637.50
  5. Step 5: Solve for x
    x = 24,680,429,637.50/75,450.94
  6. Step 6: Final answer
    x = 327,105.67

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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.