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Finding the Third Proportional to 107,317 and 166,094

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Solution

The third proportional to 107,317 and 166,094 is: 257,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,317 : 166,094 = 166,094 : x
  2. Step 2: Convert to fraction form
    107,317/166,094 = 166,094/x
  3. Step 3: Cross multiply
    107,317x = 166,094 × 166,094
  4. Step 4: Simplify right side
    107,317x = 27,587,216,836
  5. Step 5: Solve for x
    x = 27,587,216,836/107,317
  6. Step 6: Final answer
    x = 257,062.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.