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Finding the Third Proportional to 104,996 and 162,138

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Solution

The third proportional to 104,996 and 162,138 is: 250,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,996 : 162,138 = 162,138 : x
  2. Step 2: Convert to fraction form
    104,996/162,138 = 162,138/x
  3. Step 3: Cross multiply
    104,996x = 162,138 × 162,138
  4. Step 4: Simplify right side
    104,996x = 26,288,731,044
  5. Step 5: Solve for x
    x = 26,288,731,044/104,996
  6. Step 6: Final answer
    x = 250,378.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.