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Finding the Third Proportional to 76,152 and 165,018

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Solution

The third proportional to 76,152 and 165,018 is: 357,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,152 : 165,018 = 165,018 : x
  2. Step 2: Convert to fraction form
    76,152/165,018 = 165,018/x
  3. Step 3: Cross multiply
    76,152x = 165,018 × 165,018
  4. Step 4: Simplify right side
    76,152x = 27,230,940,324
  5. Step 5: Solve for x
    x = 27,230,940,324/76,152
  6. Step 6: Final answer
    x = 357,586.67

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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.