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Finding the Third Proportional to 53,221 and 115,892

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Solution

The third proportional to 53,221 and 115,892 is: 252,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,221 : 115,892 = 115,892 : x
  2. Step 2: Convert to fraction form
    53,221/115,892 = 115,892/x
  3. Step 3: Cross multiply
    53,221x = 115,892 × 115,892
  4. Step 4: Simplify right side
    53,221x = 13,430,955,664
  5. Step 5: Solve for x
    x = 13,430,955,664/53,221
  6. Step 6: Final answer
    x = 252,361.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.