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Finding the Third Proportional to 104,922 and 158,381

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Solution

The third proportional to 104,922 and 158,381 is: 239,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,922 : 158,381 = 158,381 : x
  2. Step 2: Convert to fraction form
    104,922/158,381 = 158,381/x
  3. Step 3: Cross multiply
    104,922x = 158,381 × 158,381
  4. Step 4: Simplify right side
    104,922x = 25,084,541,161
  5. Step 5: Solve for x
    x = 25,084,541,161/104,922
  6. Step 6: Final answer
    x = 239,077.99

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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.