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Finding the Third Proportional to 108,528 and 166,917

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Solution

The third proportional to 108,528 and 166,917 is: 256,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,528 : 166,917 = 166,917 : x
  2. Step 2: Convert to fraction form
    108,528/166,917 = 166,917/x
  3. Step 3: Cross multiply
    108,528x = 166,917 × 166,917
  4. Step 4: Simplify right side
    108,528x = 27,861,284,889
  5. Step 5: Solve for x
    x = 27,861,284,889/108,528
  6. Step 6: Final answer
    x = 256,719.79

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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.