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Finding the Third Proportional to 70,181 and 98,842

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Solution

The third proportional to 70,181 and 98,842 is: 139,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181 : 98,842 = 98,842 : x
  2. Step 2: Convert to fraction form
    70,181/98,842 = 98,842/x
  3. Step 3: Cross multiply
    70,181x = 98,842 × 98,842
  4. Step 4: Simplify right side
    70,181x = 9,769,740,964
  5. Step 5: Solve for x
    x = 9,769,740,964/70,181
  6. Step 6: Final answer
    x = 139,207.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.