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Finding the Third Proportional to 69,076.50 and 123,936

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Solution

The third proportional to 69,076.50 and 123,936 is: 222,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076.50 : 123,936 = 123,936 : x
  2. Step 2: Convert to fraction form
    69,076.50/123,936 = 123,936/x
  3. Step 3: Cross multiply
    69,076.50x = 123,936 × 123,936
  4. Step 4: Simplify right side
    69,076.50x = 15,360,132,096
  5. Step 5: Solve for x
    x = 15,360,132,096/69,076.50
  6. Step 6: Final answer
    x = 222,364.08

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.