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Finding the Third Proportional to 52,095 and 107,883

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Solution

The third proportional to 52,095 and 107,883 is: 223,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095 : 107,883 = 107,883 : x
  2. Step 2: Convert to fraction form
    52,095/107,883 = 107,883/x
  3. Step 3: Cross multiply
    52,095x = 107,883 × 107,883
  4. Step 4: Simplify right side
    52,095x = 11,638,741,689
  5. Step 5: Solve for x
    x = 11,638,741,689/52,095
  6. Step 6: Final answer
    x = 223,413.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.