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Finding the Third Proportional to 76,038 and 165,456

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Solution

The third proportional to 76,038 and 165,456 is: 360,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038 : 165,456 = 165,456 : x
  2. Step 2: Convert to fraction form
    76,038/165,456 = 165,456/x
  3. Step 3: Cross multiply
    76,038x = 165,456 × 165,456
  4. Step 4: Simplify right side
    76,038x = 27,375,687,936
  5. Step 5: Solve for x
    x = 27,375,687,936/76,038
  6. Step 6: Final answer
    x = 360,026.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.