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Finding the Third Proportional to 122,674.50 and 186,684.75

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Solution

The third proportional to 122,674.50 and 186,684.75 is: 284,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,674.50 : 186,684.75 = 186,684.75 : x
  2. Step 2: Convert to fraction form
    122,674.50/186,684.75 = 186,684.75/x
  3. Step 3: Cross multiply
    122,674.50x = 186,684.75 × 186,684.75
  4. Step 4: Simplify right side
    122,674.50x = 34,851,195,882.56
  5. Step 5: Solve for x
    x = 34,851,195,882.56/122,674.50
  6. Step 6: Final answer
    x = 284,094.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.