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Finding the Third Proportional to 45,461.25 and 72,189.56

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Solution

The third proportional to 45,461.25 and 72,189.56 is: 114,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461.25 : 72,189.56 = 72,189.56 : x
  2. Step 2: Convert to fraction form
    45,461.25/72,189.56 = 72,189.56/x
  3. Step 3: Cross multiply
    45,461.25x = 72,189.56 × 72,189.56
  4. Step 4: Simplify right side
    45,461.25x = 5,211,332,933.94
  5. Step 5: Solve for x
    x = 5,211,332,933.94/45,461.25
  6. Step 6: Final answer
    x = 114,632.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.