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Finding the Third Proportional to 75,289 and 110,104

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Solution

The third proportional to 75,289 and 110,104 is: 161,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289 : 110,104 = 110,104 : x
  2. Step 2: Convert to fraction form
    75,289/110,104 = 110,104/x
  3. Step 3: Cross multiply
    75,289x = 110,104 × 110,104
  4. Step 4: Simplify right side
    75,289x = 12,122,890,816
  5. Step 5: Solve for x
    x = 12,122,890,816/75,289
  6. Step 6: Final answer
    x = 161,018.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.