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Finding the Third Proportional to 108,236 and 158,164

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Solution

The third proportional to 108,236 and 158,164 is: 231,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,236 : 158,164 = 158,164 : x
  2. Step 2: Convert to fraction form
    108,236/158,164 = 158,164/x
  3. Step 3: Cross multiply
    108,236x = 158,164 × 158,164
  4. Step 4: Simplify right side
    108,236x = 25,015,850,896
  5. Step 5: Solve for x
    x = 25,015,850,896/108,236
  6. Step 6: Final answer
    x = 231,123.20

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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.