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Finding the Third Proportional to 110,044 and 164,998.50

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Solution

The third proportional to 110,044 and 164,998.50 is: 247,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,044 : 164,998.50 = 164,998.50 : x
  2. Step 2: Convert to fraction form
    110,044/164,998.50 = 164,998.50/x
  3. Step 3: Cross multiply
    110,044x = 164,998.50 × 164,998.50
  4. Step 4: Simplify right side
    110,044x = 27,224,505,002.25
  5. Step 5: Solve for x
    x = 27,224,505,002.25/110,044
  6. Step 6: Final answer
    x = 247,396.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.