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Finding the Third Proportional to 75,538 and 161,764

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Solution

The third proportional to 75,538 and 161,764 is: 346,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,538 : 161,764 = 161,764 : x
  2. Step 2: Convert to fraction form
    75,538/161,764 = 161,764/x
  3. Step 3: Cross multiply
    75,538x = 161,764 × 161,764
  4. Step 4: Simplify right side
    75,538x = 26,167,591,696
  5. Step 5: Solve for x
    x = 26,167,591,696/75,538
  6. Step 6: Final answer
    x = 346,416.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.