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Finding the Third Proportional to 132,743.25 and 203,154.75

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Solution

The third proportional to 132,743.25 and 203,154.75 is: 310,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,743.25 : 203,154.75 = 203,154.75 : x
  2. Step 2: Convert to fraction form
    132,743.25/203,154.75 = 203,154.75/x
  3. Step 3: Cross multiply
    132,743.25x = 203,154.75 × 203,154.75
  4. Step 4: Simplify right side
    132,743.25x = 41,271,852,447.56
  5. Step 5: Solve for x
    x = 41,271,852,447.56/132,743.25
  6. Step 6: Final answer
    x = 310,914.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.