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Finding the Third Proportional to 73,725.75 and 159,963.75

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Solution

The third proportional to 73,725.75 and 159,963.75 is: 347,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,725.75 : 159,963.75 = 159,963.75 : x
  2. Step 2: Convert to fraction form
    73,725.75/159,963.75 = 159,963.75/x
  3. Step 3: Cross multiply
    73,725.75x = 159,963.75 × 159,963.75
  4. Step 4: Simplify right side
    73,725.75x = 25,588,401,314.06
  5. Step 5: Solve for x
    x = 25,588,401,314.06/73,725.75
  6. Step 6: Final answer
    x = 347,075.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.