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Finding the Third Proportional to 108,276 and 166,642

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Solution

The third proportional to 108,276 and 166,642 is: 256,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,276 : 166,642 = 166,642 : x
  2. Step 2: Convert to fraction form
    108,276/166,642 = 166,642/x
  3. Step 3: Cross multiply
    108,276x = 166,642 × 166,642
  4. Step 4: Simplify right side
    108,276x = 27,769,556,164
  5. Step 5: Solve for x
    x = 27,769,556,164/108,276
  6. Step 6: Final answer
    x = 256,470.10

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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.