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Finding the Third Proportional to 76,176 and 165,062

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Solution

The third proportional to 76,176 and 165,062 is: 357,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 165,062 = 165,062 : x
  2. Step 2: Convert to fraction form
    76,176/165,062 = 165,062/x
  3. Step 3: Cross multiply
    76,176x = 165,062 × 165,062
  4. Step 4: Simplify right side
    76,176x = 27,245,463,844
  5. Step 5: Solve for x
    x = 27,245,463,844/76,176
  6. Step 6: Final answer
    x = 357,664.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.