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Finding the Third Proportional to 107,773.88 and 165,427.31

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Solution

The third proportional to 107,773.88 and 165,427.31 is: 253,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,773.88 : 165,427.31 = 165,427.31 : x
  2. Step 2: Convert to fraction form
    107,773.88/165,427.31 = 165,427.31/x
  3. Step 3: Cross multiply
    107,773.88x = 165,427.31 × 165,427.31
  4. Step 4: Simplify right side
    107,773.88x = 27,366,195,720.97
  5. Step 5: Solve for x
    x = 27,366,195,720.97/107,773.88
  6. Step 6: Final answer
    x = 253,922.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.