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Finding the Third Proportional to 51,927.94 and 112,968.19

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Solution

The third proportional to 51,927.94 and 112,968.19 is: 245,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,927.94 : 112,968.19 = 112,968.19 : x
  2. Step 2: Convert to fraction form
    51,927.94/112,968.19 = 112,968.19/x
  3. Step 3: Cross multiply
    51,927.94x = 112,968.19 × 112,968.19
  4. Step 4: Simplify right side
    51,927.94x = 12,761,811,387.04
  5. Step 5: Solve for x
    x = 12,761,811,387.04/51,927.94
  6. Step 6: Final answer
    x = 245,760.03

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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.