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Finding the Third Proportional to 124,974.75 and 274,876.50

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Solution

The third proportional to 124,974.75 and 274,876.50 is: 604,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,974.75 : 274,876.50 = 274,876.50 : x
  2. Step 2: Convert to fraction form
    124,974.75/274,876.50 = 274,876.50/x
  3. Step 3: Cross multiply
    124,974.75x = 274,876.50 × 274,876.50
  4. Step 4: Simplify right side
    124,974.75x = 75,557,090,252.25
  5. Step 5: Solve for x
    x = 75,557,090,252.25/124,974.75
  6. Step 6: Final answer
    x = 604,578.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.