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Finding the Third Proportional to 122,874.75 and 185,440.50

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Solution

The third proportional to 122,874.75 and 185,440.50 is: 279,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874.75 : 185,440.50 = 185,440.50 : x
  2. Step 2: Convert to fraction form
    122,874.75/185,440.50 = 185,440.50/x
  3. Step 3: Cross multiply
    122,874.75x = 185,440.50 × 185,440.50
  4. Step 4: Simplify right side
    122,874.75x = 34,388,179,040.25
  5. Step 5: Solve for x
    x = 34,388,179,040.25/122,874.75
  6. Step 6: Final answer
    x = 279,863.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.