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Finding the Third Proportional to 75,872 and 164,045

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Solution

The third proportional to 75,872 and 164,045 is: 354,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872 : 164,045 = 164,045 : x
  2. Step 2: Convert to fraction form
    75,872/164,045 = 164,045/x
  3. Step 3: Cross multiply
    75,872x = 164,045 × 164,045
  4. Step 4: Simplify right side
    75,872x = 26,910,762,025
  5. Step 5: Solve for x
    x = 26,910,762,025/75,872
  6. Step 6: Final answer
    x = 354,686.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.