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Finding the Third Proportional to 68,104 and 144,399

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Solution

The third proportional to 68,104 and 144,399 is: 306,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104 : 144,399 = 144,399 : x
  2. Step 2: Convert to fraction form
    68,104/144,399 = 144,399/x
  3. Step 3: Cross multiply
    68,104x = 144,399 × 144,399
  4. Step 4: Simplify right side
    68,104x = 20,851,071,201
  5. Step 5: Solve for x
    x = 20,851,071,201/68,104
  6. Step 6: Final answer
    x = 306,165.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.