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Finding the Third Proportional to 72,182.25 and 111,091.50

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Solution

The third proportional to 72,182.25 and 111,091.50 is: 170,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,182.25 : 111,091.50 = 111,091.50 : x
  2. Step 2: Convert to fraction form
    72,182.25/111,091.50 = 111,091.50/x
  3. Step 3: Cross multiply
    72,182.25x = 111,091.50 × 111,091.50
  4. Step 4: Simplify right side
    72,182.25x = 12,341,321,372.25
  5. Step 5: Solve for x
    x = 12,341,321,372.25/72,182.25
  6. Step 6: Final answer
    x = 170,974.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.