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Finding the Third Proportional to 107,579.25 and 165,904.88

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Solution

The third proportional to 107,579.25 and 165,904.88 is: 255,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,579.25 : 165,904.88 = 165,904.88 : x
  2. Step 2: Convert to fraction form
    107,579.25/165,904.88 = 165,904.88/x
  3. Step 3: Cross multiply
    107,579.25x = 165,904.88 × 165,904.88
  4. Step 4: Simplify right side
    107,579.25x = 27,524,427,548.77
  5. Step 5: Solve for x
    x = 27,524,427,548.77/107,579.25
  6. Step 6: Final answer
    x = 255,852.57

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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.