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Finding the Third Proportional to 74,024.25 and 150,796.50

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Solution

The third proportional to 74,024.25 and 150,796.50 is: 307,191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,024.25 : 150,796.50 = 150,796.50 : x
  2. Step 2: Convert to fraction form
    74,024.25/150,796.50 = 150,796.50/x
  3. Step 3: Cross multiply
    74,024.25x = 150,796.50 × 150,796.50
  4. Step 4: Simplify right side
    74,024.25x = 22,739,584,412.25
  5. Step 5: Solve for x
    x = 22,739,584,412.25/74,024.25
  6. Step 6: Final answer
    x = 307,191.01

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.