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Finding the Third Proportional to 51,855.19 and 113,095.88

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Solution

The third proportional to 51,855.19 and 113,095.88 is: 246,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.19 : 113,095.88 = 113,095.88 : x
  2. Step 2: Convert to fraction form
    51,855.19/113,095.88 = 113,095.88/x
  3. Step 3: Cross multiply
    51,855.19x = 113,095.88 × 113,095.88
  4. Step 4: Simplify right side
    51,855.19x = 12,790,676,942.02
  5. Step 5: Solve for x
    x = 12,790,676,942.02/51,855.19
  6. Step 6: Final answer
    x = 246,661.47

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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.