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Finding the Third Proportional to 113,724.56 and 168,369.19

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Solution

The third proportional to 113,724.56 and 168,369.19 is: 249,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,724.56 : 168,369.19 = 168,369.19 : x
  2. Step 2: Convert to fraction form
    113,724.56/168,369.19 = 168,369.19/x
  3. Step 3: Cross multiply
    113,724.56x = 168,369.19 × 168,369.19
  4. Step 4: Simplify right side
    113,724.56x = 28,348,183,299.41
  5. Step 5: Solve for x
    x = 28,348,183,299.41/113,724.56
  6. Step 6: Final answer
    x = 249,270.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.