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Finding the Third Proportional to 72,789.75 and 154,327.50

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Solution

The third proportional to 72,789.75 and 154,327.50 is: 327,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,789.75 : 154,327.50 = 154,327.50 : x
  2. Step 2: Convert to fraction form
    72,789.75/154,327.50 = 154,327.50/x
  3. Step 3: Cross multiply
    72,789.75x = 154,327.50 × 154,327.50
  4. Step 4: Simplify right side
    72,789.75x = 23,816,977,256.25
  5. Step 5: Solve for x
    x = 23,816,977,256.25/72,789.75
  6. Step 6: Final answer
    x = 327,202.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.