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Finding the Third Proportional to 62,754 and 137,976

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Solution

The third proportional to 62,754 and 137,976 is: 303,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,754 : 137,976 = 137,976 : x
  2. Step 2: Convert to fraction form
    62,754/137,976 = 137,976/x
  3. Step 3: Cross multiply
    62,754x = 137,976 × 137,976
  4. Step 4: Simplify right side
    62,754x = 19,037,376,576
  5. Step 5: Solve for x
    x = 19,037,376,576/62,754
  6. Step 6: Final answer
    x = 303,365.15

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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.