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Finding the Third Proportional to 42,787.50 and 95,413.13

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Solution

The third proportional to 42,787.50 and 95,413.13 is: 212,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,787.50 : 95,413.13 = 95,413.13 : x
  2. Step 2: Convert to fraction form
    42,787.50/95,413.13 = 95,413.13/x
  3. Step 3: Cross multiply
    42,787.50x = 95,413.13 × 95,413.13
  4. Step 4: Simplify right side
    42,787.50x = 9,103,664,422.27
  5. Step 5: Solve for x
    x = 9,103,664,422.27/42,787.50
  6. Step 6: Final answer
    x = 212,764.58

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.