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Finding the Third Proportional to 108,582 and 166,102

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Solution

The third proportional to 108,582 and 166,102 is: 254,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,582 : 166,102 = 166,102 : x
  2. Step 2: Convert to fraction form
    108,582/166,102 = 166,102/x
  3. Step 3: Cross multiply
    108,582x = 166,102 × 166,102
  4. Step 4: Simplify right side
    108,582x = 27,589,874,404
  5. Step 5: Solve for x
    x = 27,589,874,404/108,582
  6. Step 6: Final answer
    x = 254,092.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.