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Finding the Third Proportional to 62,574.75 and 137,616.75

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Solution

The third proportional to 62,574.75 and 137,616.75 is: 302,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,574.75 : 137,616.75 = 137,616.75 : x
  2. Step 2: Convert to fraction form
    62,574.75/137,616.75 = 137,616.75/x
  3. Step 3: Cross multiply
    62,574.75x = 137,616.75 × 137,616.75
  4. Step 4: Simplify right side
    62,574.75x = 18,938,369,880.56
  5. Step 5: Solve for x
    x = 18,938,369,880.56/62,574.75
  6. Step 6: Final answer
    x = 302,651.95

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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.