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Finding the Third Proportional to 107,775.56 and 165,429.84

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Solution

The third proportional to 107,775.56 and 165,429.84 is: 253,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,775.56 : 165,429.84 = 165,429.84 : x
  2. Step 2: Convert to fraction form
    107,775.56/165,429.84 = 165,429.84/x
  3. Step 3: Cross multiply
    107,775.56x = 165,429.84 × 165,429.84
  4. Step 4: Simplify right side
    107,775.56x = 27,367,033,203.15
  5. Step 5: Solve for x
    x = 27,367,033,203.15/107,775.56
  6. Step 6: Final answer
    x = 253,926.15

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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.