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Finding the Third Proportional to 107,007.75 and 165,921.75

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Solution

The third proportional to 107,007.75 and 165,921.75 is: 257,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007.75 : 165,921.75 = 165,921.75 : x
  2. Step 2: Convert to fraction form
    107,007.75/165,921.75 = 165,921.75/x
  3. Step 3: Cross multiply
    107,007.75x = 165,921.75 × 165,921.75
  4. Step 4: Simplify right side
    107,007.75x = 27,530,027,123.06
  5. Step 5: Solve for x
    x = 27,530,027,123.06/107,007.75
  6. Step 6: Final answer
    x = 257,271.34

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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.