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Finding the Third Proportional to 77,736 and 167,760

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Solution

The third proportional to 77,736 and 167,760 is: 362,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,736 : 167,760 = 167,760 : x
  2. Step 2: Convert to fraction form
    77,736/167,760 = 167,760/x
  3. Step 3: Cross multiply
    77,736x = 167,760 × 167,760
  4. Step 4: Simplify right side
    77,736x = 28,143,417,600
  5. Step 5: Solve for x
    x = 28,143,417,600/77,736
  6. Step 6: Final answer
    x = 362,038.41

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Why These Related Problems?

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