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Finding the Third Proportional to 59,808 and 81,262.50

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Solution

The third proportional to 59,808 and 81,262.50 is: 110,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,808 : 81,262.50 = 81,262.50 : x
  2. Step 2: Convert to fraction form
    59,808/81,262.50 = 81,262.50/x
  3. Step 3: Cross multiply
    59,808x = 81,262.50 × 81,262.50
  4. Step 4: Simplify right side
    59,808x = 6,603,593,906.25
  5. Step 5: Solve for x
    x = 6,603,593,906.25/59,808
  6. Step 6: Final answer
    x = 110,413.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.