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Finding the Third Proportional to 58,898 and 125,734

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Solution

The third proportional to 58,898 and 125,734 is: 268,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,898 : 125,734 = 125,734 : x
  2. Step 2: Convert to fraction form
    58,898/125,734 = 125,734/x
  3. Step 3: Cross multiply
    58,898x = 125,734 × 125,734
  4. Step 4: Simplify right side
    58,898x = 15,809,038,756
  5. Step 5: Solve for x
    x = 15,809,038,756/58,898
  6. Step 6: Final answer
    x = 268,413.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.