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Finding the Third Proportional to 124,205.06 and 269,414.44

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Solution

The third proportional to 124,205.06 and 269,414.44 is: 584,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,205.06 : 269,414.44 = 269,414.44 : x
  2. Step 2: Convert to fraction form
    124,205.06/269,414.44 = 269,414.44/x
  3. Step 3: Cross multiply
    124,205.06x = 269,414.44 × 269,414.44
  4. Step 4: Simplify right side
    124,205.06x = 72,584,139,133.44
  5. Step 5: Solve for x
    x = 72,584,139,133.44/124,205.06
  6. Step 6: Final answer
    x = 584,389.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.