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Finding the Third Proportional to 69,583.50 and 151,803

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Solution

The third proportional to 69,583.50 and 151,803 is: 331,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,583.50 : 151,803 = 151,803 : x
  2. Step 2: Convert to fraction form
    69,583.50/151,803 = 151,803/x
  3. Step 3: Cross multiply
    69,583.50x = 151,803 × 151,803
  4. Step 4: Simplify right side
    69,583.50x = 23,044,150,809
  5. Step 5: Solve for x
    x = 23,044,150,809/69,583.50
  6. Step 6: Final answer
    x = 331,172.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.