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Finding the Third Proportional to 40,160 and 84,842

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Solution

The third proportional to 40,160 and 84,842 is: 179,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,160 : 84,842 = 84,842 : x
  2. Step 2: Convert to fraction form
    40,160/84,842 = 84,842/x
  3. Step 3: Cross multiply
    40,160x = 84,842 × 84,842
  4. Step 4: Simplify right side
    40,160x = 7,198,164,964
  5. Step 5: Solve for x
    x = 7,198,164,964/40,160
  6. Step 6: Final answer
    x = 179,237.18

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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.