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Finding the Third Proportional to 77,209 and 167,954

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Solution

The third proportional to 77,209 and 167,954 is: 365,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,209 : 167,954 = 167,954 : x
  2. Step 2: Convert to fraction form
    77,209/167,954 = 167,954/x
  3. Step 3: Cross multiply
    77,209x = 167,954 × 167,954
  4. Step 4: Simplify right side
    77,209x = 28,208,546,116
  5. Step 5: Solve for x
    x = 28,208,546,116/77,209
  6. Step 6: Final answer
    x = 365,353.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.