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Finding the Third Proportional to 75,411 and 158,166

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Solution

The third proportional to 75,411 and 158,166 is: 331,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411 : 158,166 = 158,166 : x
  2. Step 2: Convert to fraction form
    75,411/158,166 = 158,166/x
  3. Step 3: Cross multiply
    75,411x = 158,166 × 158,166
  4. Step 4: Simplify right side
    75,411x = 25,016,483,556
  5. Step 5: Solve for x
    x = 25,016,483,556/75,411
  6. Step 6: Final answer
    x = 331,735.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.