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Finding the Third Proportional to 124,678 and 274,263

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Solution

The third proportional to 124,678 and 274,263 is: 603,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,678 : 274,263 = 274,263 : x
  2. Step 2: Convert to fraction form
    124,678/274,263 = 274,263/x
  3. Step 3: Cross multiply
    124,678x = 274,263 × 274,263
  4. Step 4: Simplify right side
    124,678x = 75,220,193,169
  5. Step 5: Solve for x
    x = 75,220,193,169/124,678
  6. Step 6: Final answer
    x = 603,315.69

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