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Finding the Third Proportional to 57,641.25 and 123,893.25

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Solution

The third proportional to 57,641.25 and 123,893.25 is: 266,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.25 : 123,893.25 = 123,893.25 : x
  2. Step 2: Convert to fraction form
    57,641.25/123,893.25 = 123,893.25/x
  3. Step 3: Cross multiply
    57,641.25x = 123,893.25 × 123,893.25
  4. Step 4: Simplify right side
    57,641.25x = 15,349,537,395.56
  5. Step 5: Solve for x
    x = 15,349,537,395.56/57,641.25
  6. Step 6: Final answer
    x = 266,294.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.