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Finding the Third Proportional to 75,969 and 163,619

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Solution

The third proportional to 75,969 and 163,619 is: 352,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969 : 163,619 = 163,619 : x
  2. Step 2: Convert to fraction form
    75,969/163,619 = 163,619/x
  3. Step 3: Cross multiply
    75,969x = 163,619 × 163,619
  4. Step 4: Simplify right side
    75,969x = 26,771,177,161
  5. Step 5: Solve for x
    x = 26,771,177,161/75,969
  6. Step 6: Final answer
    x = 352,396.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.