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Finding the Third Proportional to 108,756 and 159,228

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Solution

The third proportional to 108,756 and 159,228 is: 233,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,756 : 159,228 = 159,228 : x
  2. Step 2: Convert to fraction form
    108,756/159,228 = 159,228/x
  3. Step 3: Cross multiply
    108,756x = 159,228 × 159,228
  4. Step 4: Simplify right side
    108,756x = 25,353,555,984
  5. Step 5: Solve for x
    x = 25,353,555,984/108,756
  6. Step 6: Final answer
    x = 233,123.29

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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.