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Finding the Third Proportional to 95,585.63 and 143,414.44

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Solution

The third proportional to 95,585.63 and 143,414.44 is: 215,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,585.63 : 143,414.44 = 143,414.44 : x
  2. Step 2: Convert to fraction form
    95,585.63/143,414.44 = 143,414.44/x
  3. Step 3: Cross multiply
    95,585.63x = 143,414.44 × 143,414.44
  4. Step 4: Simplify right side
    95,585.63x = 20,567,700,883.44
  5. Step 5: Solve for x
    x = 20,567,700,883.44/95,585.63
  6. Step 6: Final answer
    x = 215,175.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.