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Finding the Third Proportional to 98,766 and 144,450

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Solution

The third proportional to 98,766 and 144,450 is: 211,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,766 : 144,450 = 144,450 : x
  2. Step 2: Convert to fraction form
    98,766/144,450 = 144,450/x
  3. Step 3: Cross multiply
    98,766x = 144,450 × 144,450
  4. Step 4: Simplify right side
    98,766x = 20,865,802,500
  5. Step 5: Solve for x
    x = 20,865,802,500/98,766
  6. Step 6: Final answer
    x = 211,265.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.