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Finding the Third Proportional to 69,033.94 and 148,935.38

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Solution

The third proportional to 69,033.94 and 148,935.38 is: 321,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,033.94 : 148,935.38 = 148,935.38 : x
  2. Step 2: Convert to fraction form
    69,033.94/148,935.38 = 148,935.38/x
  3. Step 3: Cross multiply
    69,033.94x = 148,935.38 × 148,935.38
  4. Step 4: Simplify right side
    69,033.94x = 22,181,745,926.39
  5. Step 5: Solve for x
    x = 22,181,745,926.39/69,033.94
  6. Step 6: Final answer
    x = 321,316.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.