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Finding the Third Proportional to 104,411 and 158,075

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Solution

The third proportional to 104,411 and 158,075 is: 239,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,411 : 158,075 = 158,075 : x
  2. Step 2: Convert to fraction form
    104,411/158,075 = 158,075/x
  3. Step 3: Cross multiply
    104,411x = 158,075 × 158,075
  4. Step 4: Simplify right side
    104,411x = 24,987,705,625
  5. Step 5: Solve for x
    x = 24,987,705,625/104,411
  6. Step 6: Final answer
    x = 239,320.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.