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Finding the Third Proportional to 72,069.75 and 154,796.06

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Solution

The third proportional to 72,069.75 and 154,796.06 is: 332,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,069.75 : 154,796.06 = 154,796.06 : x
  2. Step 2: Convert to fraction form
    72,069.75/154,796.06 = 154,796.06/x
  3. Step 3: Cross multiply
    72,069.75x = 154,796.06 × 154,796.06
  4. Step 4: Simplify right side
    72,069.75x = 23,961,820,965.50
  5. Step 5: Solve for x
    x = 23,961,820,965.50/72,069.75
  6. Step 6: Final answer
    x = 332,480.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.