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Finding the Third Proportional to 75,273.05 and 110,829.09

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Solution

The third proportional to 75,273.05 and 110,829.09 is: 163,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,273.05 : 110,829.09 = 110,829.09 : x
  2. Step 2: Convert to fraction form
    75,273.05/110,829.09 = 110,829.09/x
  3. Step 3: Cross multiply
    75,273.05x = 110,829.09 × 110,829.09
  4. Step 4: Simplify right side
    75,273.05x = 12,283,088,021.45
  5. Step 5: Solve for x
    x = 12,283,088,021.45/75,273.05
  6. Step 6: Final answer
    x = 163,180.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.