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Finding the Third Proportional to 69,206.63 and 106,923.38

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Solution

The third proportional to 69,206.63 and 106,923.38 is: 165,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206.63 : 106,923.38 = 106,923.38 : x
  2. Step 2: Convert to fraction form
    69,206.63/106,923.38 = 106,923.38/x
  3. Step 3: Cross multiply
    69,206.63x = 106,923.38 × 106,923.38
  4. Step 4: Simplify right side
    69,206.63x = 11,432,608,121.39
  5. Step 5: Solve for x
    x = 11,432,608,121.39/69,206.63
  6. Step 6: Final answer
    x = 165,195.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.