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Finding the Third Proportional to 60,144.75 and 131,564.25

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Solution

The third proportional to 60,144.75 and 131,564.25 is: 287,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,144.75 : 131,564.25 = 131,564.25 : x
  2. Step 2: Convert to fraction form
    60,144.75/131,564.25 = 131,564.25/x
  3. Step 3: Cross multiply
    60,144.75x = 131,564.25 × 131,564.25
  4. Step 4: Simplify right side
    60,144.75x = 17,309,151,878.06
  5. Step 5: Solve for x
    x = 17,309,151,878.06/60,144.75
  6. Step 6: Final answer
    x = 287,791.57

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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.