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Finding the Third Proportional to 62,782.50 and 137,958

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Solution

The third proportional to 62,782.50 and 137,958 is: 303,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,782.50 : 137,958 = 137,958 : x
  2. Step 2: Convert to fraction form
    62,782.50/137,958 = 137,958/x
  3. Step 3: Cross multiply
    62,782.50x = 137,958 × 137,958
  4. Step 4: Simplify right side
    62,782.50x = 19,032,409,764
  5. Step 5: Solve for x
    x = 19,032,409,764/62,782.50
  6. Step 6: Final answer
    x = 303,148.33

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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.