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Finding the Third Proportional to 74,149.75 and 159,963.75

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Solution

The third proportional to 74,149.75 and 159,963.75 is: 345,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,149.75 : 159,963.75 = 159,963.75 : x
  2. Step 2: Convert to fraction form
    74,149.75/159,963.75 = 159,963.75/x
  3. Step 3: Cross multiply
    74,149.75x = 159,963.75 × 159,963.75
  4. Step 4: Simplify right side
    74,149.75x = 25,588,401,314.06
  5. Step 5: Solve for x
    x = 25,588,401,314.06/74,149.75
  6. Step 6: Final answer
    x = 345,090.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.