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Finding the Third Proportional to 51,736 and 77,732

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Solution

The third proportional to 51,736 and 77,732 is: 116,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736 : 77,732 = 77,732 : x
  2. Step 2: Convert to fraction form
    51,736/77,732 = 77,732/x
  3. Step 3: Cross multiply
    51,736x = 77,732 × 77,732
  4. Step 4: Simplify right side
    51,736x = 6,042,263,824
  5. Step 5: Solve for x
    x = 6,042,263,824/51,736
  6. Step 6: Final answer
    x = 116,790.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.