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Finding the Third Proportional to 51,936.19 and 111,816.70

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Solution

The third proportional to 51,936.19 and 111,816.70 is: 240,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,936.19 : 111,816.70 = 111,816.70 : x
  2. Step 2: Convert to fraction form
    51,936.19/111,816.70 = 111,816.70/x
  3. Step 3: Cross multiply
    51,936.19x = 111,816.70 × 111,816.70
  4. Step 4: Simplify right side
    51,936.19x = 12,502,975,097.74
  5. Step 5: Solve for x
    x = 12,502,975,097.74/51,936.19
  6. Step 6: Final answer
    x = 240,737.25

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Why These Related Problems?

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