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Finding the Third Proportional to 27,144 and 56,756

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Solution

The third proportional to 27,144 and 56,756 is: 118,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 56,756 = 56,756 : x
  2. Step 2: Convert to fraction form
    27,144/56,756 = 56,756/x
  3. Step 3: Cross multiply
    27,144x = 56,756 × 56,756
  4. Step 4: Simplify right side
    27,144x = 3,221,243,536
  5. Step 5: Solve for x
    x = 3,221,243,536/27,144
  6. Step 6: Final answer
    x = 118,672.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.