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Finding the Third Proportional to 108,806 and 166,452

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Solution

The third proportional to 108,806 and 166,452 is: 254,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,806 : 166,452 = 166,452 : x
  2. Step 2: Convert to fraction form
    108,806/166,452 = 166,452/x
  3. Step 3: Cross multiply
    108,806x = 166,452 × 166,452
  4. Step 4: Simplify right side
    108,806x = 27,706,268,304
  5. Step 5: Solve for x
    x = 27,706,268,304/108,806
  6. Step 6: Final answer
    x = 254,639.16

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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.