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Finding the Third Proportional to 51,899.06 and 113,491.97

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Solution

The third proportional to 51,899.06 and 113,491.97 is: 248,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,899.06 : 113,491.97 = 113,491.97 : x
  2. Step 2: Convert to fraction form
    51,899.06/113,491.97 = 113,491.97/x
  3. Step 3: Cross multiply
    51,899.06x = 113,491.97 × 113,491.97
  4. Step 4: Simplify right side
    51,899.06x = 12,880,426,970.75
  5. Step 5: Solve for x
    x = 12,880,426,970.75/51,899.06
  6. Step 6: Final answer
    x = 248,182.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.