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Finding the Third Proportional to 60,504.75 and 131,357.25

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Solution

The third proportional to 60,504.75 and 131,357.25 is: 285,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,504.75 : 131,357.25 = 131,357.25 : x
  2. Step 2: Convert to fraction form
    60,504.75/131,357.25 = 131,357.25/x
  3. Step 3: Cross multiply
    60,504.75x = 131,357.25 × 131,357.25
  4. Step 4: Simplify right side
    60,504.75x = 17,254,727,127.56
  5. Step 5: Solve for x
    x = 17,254,727,127.56/60,504.75
  6. Step 6: Final answer
    x = 285,179.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.