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Finding the Third Proportional to 75,289 and 110,103

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Solution

The third proportional to 75,289 and 110,103 is: 161,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289 : 110,103 = 110,103 : x
  2. Step 2: Convert to fraction form
    75,289/110,103 = 110,103/x
  3. Step 3: Cross multiply
    75,289x = 110,103 × 110,103
  4. Step 4: Simplify right side
    75,289x = 12,122,670,609
  5. Step 5: Solve for x
    x = 12,122,670,609/75,289
  6. Step 6: Final answer
    x = 161,015.16

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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.