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Finding the Third Proportional to 75,778.03 and 116,826.05

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Solution

The third proportional to 75,778.03 and 116,826.05 is: 180,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,778.03 : 116,826.05 = 116,826.05 : x
  2. Step 2: Convert to fraction form
    75,778.03/116,826.05 = 116,826.05/x
  3. Step 3: Cross multiply
    75,778.03x = 116,826.05 × 116,826.05
  4. Step 4: Simplify right side
    75,778.03x = 13,648,325,228.44
  5. Step 5: Solve for x
    x = 13,648,325,228.44/75,778.03
  6. Step 6: Final answer
    x = 180,109.26

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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.