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Finding the Third Proportional to 57,675.09 and 123,551.44

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Solution

The third proportional to 57,675.09 and 123,551.44 is: 264,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,675.09 : 123,551.44 = 123,551.44 : x
  2. Step 2: Convert to fraction form
    57,675.09/123,551.44 = 123,551.44/x
  3. Step 3: Cross multiply
    57,675.09x = 123,551.44 × 123,551.44
  4. Step 4: Simplify right side
    57,675.09x = 15,264,957,708.32
  5. Step 5: Solve for x
    x = 15,264,957,708.32/57,675.09
  6. Step 6: Final answer
    x = 264,671.57

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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.