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Finding the Third Proportional to 75,410.50 and 165,764.50

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Solution

The third proportional to 75,410.50 and 165,764.50 is: 364,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,410.50 : 165,764.50 = 165,764.50 : x
  2. Step 2: Convert to fraction form
    75,410.50/165,764.50 = 165,764.50/x
  3. Step 3: Cross multiply
    75,410.50x = 165,764.50 × 165,764.50
  4. Step 4: Simplify right side
    75,410.50x = 27,477,869,460.25
  5. Step 5: Solve for x
    x = 27,477,869,460.25/75,410.50
  6. Step 6: Final answer
    x = 364,377.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.