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Finding the Third Proportional to 58,234.50 and 82,413.25

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Solution

The third proportional to 58,234.50 and 82,413.25 is: 116,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234.50 : 82,413.25 = 82,413.25 : x
  2. Step 2: Convert to fraction form
    58,234.50/82,413.25 = 82,413.25/x
  3. Step 3: Cross multiply
    58,234.50x = 82,413.25 × 82,413.25
  4. Step 4: Simplify right side
    58,234.50x = 6,791,943,775.56
  5. Step 5: Solve for x
    x = 6,791,943,775.56/58,234.50
  6. Step 6: Final answer
    x = 116,630.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.