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Finding the Third Proportional to 51,955.49 and 111,680.96

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Solution

The third proportional to 51,955.49 and 111,680.96 is: 240,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,955.49 : 111,680.96 = 111,680.96 : x
  2. Step 2: Convert to fraction form
    51,955.49/111,680.96 = 111,680.96/x
  3. Step 3: Cross multiply
    51,955.49x = 111,680.96 × 111,680.96
  4. Step 4: Simplify right side
    51,955.49x = 12,472,637,908.43
  5. Step 5: Solve for x
    x = 12,472,637,908.43/51,955.49
  6. Step 6: Final answer
    x = 240,063.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.