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Finding the Third Proportional to 73,661.75 and 160,817.12

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Solution

The third proportional to 73,661.75 and 160,817.12 is: 351,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,661.75 : 160,817.12 = 160,817.12 : x
  2. Step 2: Convert to fraction form
    73,661.75/160,817.12 = 160,817.12/x
  3. Step 3: Cross multiply
    73,661.75x = 160,817.12 × 160,817.12
  4. Step 4: Simplify right side
    73,661.75x = 25,862,144,552.31
  5. Step 5: Solve for x
    x = 25,862,144,552.31/73,661.75
  6. Step 6: Final answer
    x = 351,093.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.