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Finding the Third Proportional to 76,756.50 and 165,177

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Solution

The third proportional to 76,756.50 and 165,177 is: 355,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,756.50 : 165,177 = 165,177 : x
  2. Step 2: Convert to fraction form
    76,756.50/165,177 = 165,177/x
  3. Step 3: Cross multiply
    76,756.50x = 165,177 × 165,177
  4. Step 4: Simplify right side
    76,756.50x = 27,283,441,329
  5. Step 5: Solve for x
    x = 27,283,441,329/76,756.50
  6. Step 6: Final answer
    x = 355,454.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.