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Finding the Third Proportional to 108,416 and 166,852

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Solution

The third proportional to 108,416 and 166,852 is: 256,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,416 : 166,852 = 166,852 : x
  2. Step 2: Convert to fraction form
    108,416/166,852 = 166,852/x
  3. Step 3: Cross multiply
    108,416x = 166,852 × 166,852
  4. Step 4: Simplify right side
    108,416x = 27,839,589,904
  5. Step 5: Solve for x
    x = 27,839,589,904/108,416
  6. Step 6: Final answer
    x = 256,784.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.