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Finding the Third Proportional to 53,019.50 and 81,989.50

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Solution

The third proportional to 53,019.50 and 81,989.50 is: 126,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019.50 : 81,989.50 = 81,989.50 : x
  2. Step 2: Convert to fraction form
    53,019.50/81,989.50 = 81,989.50/x
  3. Step 3: Cross multiply
    53,019.50x = 81,989.50 × 81,989.50
  4. Step 4: Simplify right side
    53,019.50x = 6,722,278,110.25
  5. Step 5: Solve for x
    x = 6,722,278,110.25/53,019.50
  6. Step 6: Final answer
    x = 126,788.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.