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Finding the Third Proportional to 57,381.75 and 88,634.25

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Solution

The third proportional to 57,381.75 and 88,634.25 is: 136,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381.75 : 88,634.25 = 88,634.25 : x
  2. Step 2: Convert to fraction form
    57,381.75/88,634.25 = 88,634.25/x
  3. Step 3: Cross multiply
    57,381.75x = 88,634.25 × 88,634.25
  4. Step 4: Simplify right side
    57,381.75x = 7,856,030,273.06
  5. Step 5: Solve for x
    x = 7,856,030,273.06/57,381.75
  6. Step 6: Final answer
    x = 136,908.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.