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Finding the Third Proportional to 66,891 and 91,109.50

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Solution

The third proportional to 66,891 and 91,109.50 is: 124,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,891 : 91,109.50 = 91,109.50 : x
  2. Step 2: Convert to fraction form
    66,891/91,109.50 = 91,109.50/x
  3. Step 3: Cross multiply
    66,891x = 91,109.50 × 91,109.50
  4. Step 4: Simplify right side
    66,891x = 8,300,940,990.25
  5. Step 5: Solve for x
    x = 8,300,940,990.25/66,891
  6. Step 6: Final answer
    x = 124,096.53

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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.