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Finding the Third Proportional to 102,845.25 and 158,928.75

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Solution

The third proportional to 102,845.25 and 158,928.75 is: 245,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,845.25 : 158,928.75 = 158,928.75 : x
  2. Step 2: Convert to fraction form
    102,845.25/158,928.75 = 158,928.75/x
  3. Step 3: Cross multiply
    102,845.25x = 158,928.75 × 158,928.75
  4. Step 4: Simplify right side
    102,845.25x = 25,258,347,576.56
  5. Step 5: Solve for x
    x = 25,258,347,576.56/102,845.25
  6. Step 6: Final answer
    x = 245,595.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.