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Finding the Third Proportional to 98,016 and 143,241

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Solution

The third proportional to 98,016 and 143,241 is: 209,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 143,241 = 143,241 : x
  2. Step 2: Convert to fraction form
    98,016/143,241 = 143,241/x
  3. Step 3: Cross multiply
    98,016x = 143,241 × 143,241
  4. Step 4: Simplify right side
    98,016x = 20,517,984,081
  5. Step 5: Solve for x
    x = 20,517,984,081/98,016
  6. Step 6: Final answer
    x = 209,333.01

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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.