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Finding the Third Proportional to 108,936 and 159,080

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Solution

The third proportional to 108,936 and 159,080 is: 232,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,936 : 159,080 = 159,080 : x
  2. Step 2: Convert to fraction form
    108,936/159,080 = 159,080/x
  3. Step 3: Cross multiply
    108,936x = 159,080 × 159,080
  4. Step 4: Simplify right side
    108,936x = 25,306,446,400
  5. Step 5: Solve for x
    x = 25,306,446,400/108,936
  6. Step 6: Final answer
    x = 232,305.63

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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.