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Finding the Third Proportional to 57,357.49 and 123,020.65

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Solution

The third proportional to 57,357.49 and 123,020.65 is: 263,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357.49 : 123,020.65 = 123,020.65 : x
  2. Step 2: Convert to fraction form
    57,357.49/123,020.65 = 123,020.65/x
  3. Step 3: Cross multiply
    57,357.49x = 123,020.65 × 123,020.65
  4. Step 4: Simplify right side
    57,357.49x = 15,134,079,941.98
  5. Step 5: Solve for x
    x = 15,134,079,941.98/57,357.49
  6. Step 6: Final answer
    x = 263,855.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.