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Finding the Third Proportional to 108,496 and 164,274

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Solution

The third proportional to 108,496 and 164,274 is: 248,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,496 : 164,274 = 164,274 : x
  2. Step 2: Convert to fraction form
    108,496/164,274 = 164,274/x
  3. Step 3: Cross multiply
    108,496x = 164,274 × 164,274
  4. Step 4: Simplify right side
    108,496x = 26,985,947,076
  5. Step 5: Solve for x
    x = 26,985,947,076/108,496
  6. Step 6: Final answer
    x = 248,727.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.