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Finding the Third Proportional to 57,125.25 and 124,827.75

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Solution

The third proportional to 57,125.25 and 124,827.75 is: 272,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,125.25 : 124,827.75 = 124,827.75 : x
  2. Step 2: Convert to fraction form
    57,125.25/124,827.75 = 124,827.75/x
  3. Step 3: Cross multiply
    57,125.25x = 124,827.75 × 124,827.75
  4. Step 4: Simplify right side
    57,125.25x = 15,581,967,170.06
  5. Step 5: Solve for x
    x = 15,581,967,170.06/57,125.25
  6. Step 6: Final answer
    x = 272,768.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.