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Finding the Third Proportional to 79,202 and 164,954

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Solution

The third proportional to 79,202 and 164,954 is: 343,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,202 : 164,954 = 164,954 : x
  2. Step 2: Convert to fraction form
    79,202/164,954 = 164,954/x
  3. Step 3: Cross multiply
    79,202x = 164,954 × 164,954
  4. Step 4: Simplify right side
    79,202x = 27,209,822,116
  5. Step 5: Solve for x
    x = 27,209,822,116/79,202
  6. Step 6: Final answer
    x = 343,549.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.