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Finding the Third Proportional to 107,030 and 166,269

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Solution

The third proportional to 107,030 and 166,269 is: 258,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,030 : 166,269 = 166,269 : x
  2. Step 2: Convert to fraction form
    107,030/166,269 = 166,269/x
  3. Step 3: Cross multiply
    107,030x = 166,269 × 166,269
  4. Step 4: Simplify right side
    107,030x = 27,645,380,361
  5. Step 5: Solve for x
    x = 27,645,380,361/107,030
  6. Step 6: Final answer
    x = 258,295.62

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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.