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Finding the Third Proportional to 124,951.50 and 274,220

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Solution

The third proportional to 124,951.50 and 274,220 is: 601,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,951.50 : 274,220 = 274,220 : x
  2. Step 2: Convert to fraction form
    124,951.50/274,220 = 274,220/x
  3. Step 3: Cross multiply
    124,951.50x = 274,220 × 274,220
  4. Step 4: Simplify right side
    124,951.50x = 75,196,608,400
  5. Step 5: Solve for x
    x = 75,196,608,400/124,951.50
  6. Step 6: Final answer
    x = 601,806.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.