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Finding the Third Proportional to 87,738.75 and 141,297.75

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Solution

The third proportional to 87,738.75 and 141,297.75 is: 227,551.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,738.75 : 141,297.75 = 141,297.75 : x
  2. Step 2: Convert to fraction form
    87,738.75/141,297.75 = 141,297.75/x
  3. Step 3: Cross multiply
    87,738.75x = 141,297.75 × 141,297.75
  4. Step 4: Simplify right side
    87,738.75x = 19,965,054,155.06
  5. Step 5: Solve for x
    x = 19,965,054,155.06/87,738.75
  6. Step 6: Final answer
    x = 227,551.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.