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Finding the Third Proportional to 98,631 and 144,255

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Solution

The third proportional to 98,631 and 144,255 is: 210,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,631 : 144,255 = 144,255 : x
  2. Step 2: Convert to fraction form
    98,631/144,255 = 144,255/x
  3. Step 3: Cross multiply
    98,631x = 144,255 × 144,255
  4. Step 4: Simplify right side
    98,631x = 20,809,505,025
  5. Step 5: Solve for x
    x = 20,809,505,025/98,631
  6. Step 6: Final answer
    x = 210,983.41

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Why These Related Problems?

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