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Finding the Third Proportional to 51,362.81 and 104,138.06

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Solution

The third proportional to 51,362.81 and 104,138.06 is: 211,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,362.81 : 104,138.06 = 104,138.06 : x
  2. Step 2: Convert to fraction form
    51,362.81/104,138.06 = 104,138.06/x
  3. Step 3: Cross multiply
    51,362.81x = 104,138.06 × 104,138.06
  4. Step 4: Simplify right side
    51,362.81x = 10,844,736,061.25
  5. Step 5: Solve for x
    x = 10,844,736,061.25/51,362.81
  6. Step 6: Final answer
    x = 211,139.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.