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Finding the Third Proportional to 118,568.81 and 180,290.81

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Solution

The third proportional to 118,568.81 and 180,290.81 is: 274,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,568.81 : 180,290.81 = 180,290.81 : x
  2. Step 2: Convert to fraction form
    118,568.81/180,290.81 = 180,290.81/x
  3. Step 3: Cross multiply
    118,568.81x = 180,290.81 × 180,290.81
  4. Step 4: Simplify right side
    118,568.81x = 32,504,777,071.91
  5. Step 5: Solve for x
    x = 32,504,777,071.91/118,568.81
  6. Step 6: Final answer
    x = 274,142.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.