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Finding the Third Proportional to 72,150.75 and 113,359.50

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Solution

The third proportional to 72,150.75 and 113,359.50 is: 178,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,150.75 : 113,359.50 = 113,359.50 : x
  2. Step 2: Convert to fraction form
    72,150.75/113,359.50 = 113,359.50/x
  3. Step 3: Cross multiply
    72,150.75x = 113,359.50 × 113,359.50
  4. Step 4: Simplify right side
    72,150.75x = 12,850,376,240.25
  5. Step 5: Solve for x
    x = 12,850,376,240.25/72,150.75
  6. Step 6: Final answer
    x = 178,104.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.