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Finding the Third Proportional to 74,588 and 162,161

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Solution

The third proportional to 74,588 and 162,161 is: 352,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,588 : 162,161 = 162,161 : x
  2. Step 2: Convert to fraction form
    74,588/162,161 = 162,161/x
  3. Step 3: Cross multiply
    74,588x = 162,161 × 162,161
  4. Step 4: Simplify right side
    74,588x = 26,296,189,921
  5. Step 5: Solve for x
    x = 26,296,189,921/74,588
  6. Step 6: Final answer
    x = 352,552.55

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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.