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Finding the Third Proportional to 124,728 and 274,368.75

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Solution

The third proportional to 124,728 and 274,368.75 is: 603,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,728 : 274,368.75 = 274,368.75 : x
  2. Step 2: Convert to fraction form
    124,728/274,368.75 = 274,368.75/x
  3. Step 3: Cross multiply
    124,728x = 274,368.75 × 274,368.75
  4. Step 4: Simplify right side
    124,728x = 75,278,210,976.56
  5. Step 5: Solve for x
    x = 75,278,210,976.56/124,728
  6. Step 6: Final answer
    x = 603,538.99

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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.