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Finding the Third Proportional to 128,674.50 and 185,631

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Solution

The third proportional to 128,674.50 and 185,631 is: 267,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,674.50 : 185,631 = 185,631 : x
  2. Step 2: Convert to fraction form
    128,674.50/185,631 = 185,631/x
  3. Step 3: Cross multiply
    128,674.50x = 185,631 × 185,631
  4. Step 4: Simplify right side
    128,674.50x = 34,458,868,161
  5. Step 5: Solve for x
    x = 34,458,868,161/128,674.50
  6. Step 6: Final answer
    x = 267,798.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.