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Finding the Third Proportional to 108,287 and 166,656

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Solution

The third proportional to 108,287 and 166,656 is: 256,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,287 : 166,656 = 166,656 : x
  2. Step 2: Convert to fraction form
    108,287/166,656 = 166,656/x
  3. Step 3: Cross multiply
    108,287x = 166,656 × 166,656
  4. Step 4: Simplify right side
    108,287x = 27,774,222,336
  5. Step 5: Solve for x
    x = 27,774,222,336/108,287
  6. Step 6: Final answer
    x = 256,487.13

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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.