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Finding the Third Proportional to 54,611 and 86,834.50

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Solution

The third proportional to 54,611 and 86,834.50 is: 138,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,611 : 86,834.50 = 86,834.50 : x
  2. Step 2: Convert to fraction form
    54,611/86,834.50 = 86,834.50/x
  3. Step 3: Cross multiply
    54,611x = 86,834.50 × 86,834.50
  4. Step 4: Simplify right side
    54,611x = 7,540,230,390.25
  5. Step 5: Solve for x
    x = 7,540,230,390.25/54,611
  6. Step 6: Final answer
    x = 138,071.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.