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Finding the Third Proportional to 73,756.50 and 110,706.75

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Solution

The third proportional to 73,756.50 and 110,706.75 is: 166,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,756.50 : 110,706.75 = 110,706.75 : x
  2. Step 2: Convert to fraction form
    73,756.50/110,706.75 = 110,706.75/x
  3. Step 3: Cross multiply
    73,756.50x = 110,706.75 × 110,706.75
  4. Step 4: Simplify right side
    73,756.50x = 12,255,984,495.56
  5. Step 5: Solve for x
    x = 12,255,984,495.56/73,756.50
  6. Step 6: Final answer
    x = 166,168.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.