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Finding the Third Proportional to 85,027.69 and 122,913.94

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Solution

The third proportional to 85,027.69 and 122,913.94 is: 177,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,027.69 : 122,913.94 = 122,913.94 : x
  2. Step 2: Convert to fraction form
    85,027.69/122,913.94 = 122,913.94/x
  3. Step 3: Cross multiply
    85,027.69x = 122,913.94 × 122,913.94
  4. Step 4: Simplify right side
    85,027.69x = 15,107,836,031.75
  5. Step 5: Solve for x
    x = 15,107,836,031.75/85,027.69
  6. Step 6: Final answer
    x = 177,681.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.