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Finding the Third Proportional to 68,680 and 144,863

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Solution

The third proportional to 68,680 and 144,863 is: 305,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,680 : 144,863 = 144,863 : x
  2. Step 2: Convert to fraction form
    68,680/144,863 = 144,863/x
  3. Step 3: Cross multiply
    68,680x = 144,863 × 144,863
  4. Step 4: Simplify right side
    68,680x = 20,985,288,769
  5. Step 5: Solve for x
    x = 20,985,288,769/68,680
  6. Step 6: Final answer
    x = 305,551.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.