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Finding the Third Proportional to 107,007.75 and 160,167

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Solution

The third proportional to 107,007.75 and 160,167 is: 239,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007.75 : 160,167 = 160,167 : x
  2. Step 2: Convert to fraction form
    107,007.75/160,167 = 160,167/x
  3. Step 3: Cross multiply
    107,007.75x = 160,167 × 160,167
  4. Step 4: Simplify right side
    107,007.75x = 25,653,467,889
  5. Step 5: Solve for x
    x = 25,653,467,889/107,007.75
  6. Step 6: Final answer
    x = 239,734.67

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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.