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Finding the Third Proportional to 62,747 and 137,935

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Solution

The third proportional to 62,747 and 137,935 is: 303,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,747 : 137,935 = 137,935 : x
  2. Step 2: Convert to fraction form
    62,747/137,935 = 137,935/x
  3. Step 3: Cross multiply
    62,747x = 137,935 × 137,935
  4. Step 4: Simplify right side
    62,747x = 19,026,064,225
  5. Step 5: Solve for x
    x = 19,026,064,225/62,747
  6. Step 6: Final answer
    x = 303,218.71

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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.