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Finding the Third Proportional to 68,058 and 144,756

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Solution

The third proportional to 68,058 and 144,756 is: 307,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058 : 144,756 = 144,756 : x
  2. Step 2: Convert to fraction form
    68,058/144,756 = 144,756/x
  3. Step 3: Cross multiply
    68,058x = 144,756 × 144,756
  4. Step 4: Simplify right side
    68,058x = 20,954,299,536
  5. Step 5: Solve for x
    x = 20,954,299,536/68,058
  6. Step 6: Final answer
    x = 307,888.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.