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Finding the Third Proportional to 77,622.50 and 160,200

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Solution

The third proportional to 77,622.50 and 160,200 is: 330,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,622.50 : 160,200 = 160,200 : x
  2. Step 2: Convert to fraction form
    77,622.50/160,200 = 160,200/x
  3. Step 3: Cross multiply
    77,622.50x = 160,200 × 160,200
  4. Step 4: Simplify right side
    77,622.50x = 25,664,040,000
  5. Step 5: Solve for x
    x = 25,664,040,000/77,622.50
  6. Step 6: Final answer
    x = 330,626.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.