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Finding the Third Proportional to 62,775 and 137,991

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Solution

The third proportional to 62,775 and 137,991 is: 303,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,775 : 137,991 = 137,991 : x
  2. Step 2: Convert to fraction form
    62,775/137,991 = 137,991/x
  3. Step 3: Cross multiply
    62,775x = 137,991 × 137,991
  4. Step 4: Simplify right side
    62,775x = 19,041,516,081
  5. Step 5: Solve for x
    x = 19,041,516,081/62,775
  6. Step 6: Final answer
    x = 303,329.61

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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.