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Finding the Third Proportional to 74,106 and 162,267

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Solution

The third proportional to 74,106 and 162,267 is: 355,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,106 : 162,267 = 162,267 : x
  2. Step 2: Convert to fraction form
    74,106/162,267 = 162,267/x
  3. Step 3: Cross multiply
    74,106x = 162,267 × 162,267
  4. Step 4: Simplify right side
    74,106x = 26,330,579,289
  5. Step 5: Solve for x
    x = 26,330,579,289/74,106
  6. Step 6: Final answer
    x = 355,309.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.