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Finding the Third Proportional to 108,238 and 169,836

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Solution

The third proportional to 108,238 and 169,836 is: 266,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,238 : 169,836 = 169,836 : x
  2. Step 2: Convert to fraction form
    108,238/169,836 = 169,836/x
  3. Step 3: Cross multiply
    108,238x = 169,836 × 169,836
  4. Step 4: Simplify right side
    108,238x = 28,844,266,896
  5. Step 5: Solve for x
    x = 28,844,266,896/108,238
  6. Step 6: Final answer
    x = 266,489.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.