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Finding the Third Proportional to 87,588.75 and 117,696.75

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Solution

The third proportional to 87,588.75 and 117,696.75 is: 158,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,588.75 : 117,696.75 = 117,696.75 : x
  2. Step 2: Convert to fraction form
    87,588.75/117,696.75 = 117,696.75/x
  3. Step 3: Cross multiply
    87,588.75x = 117,696.75 × 117,696.75
  4. Step 4: Simplify right side
    87,588.75x = 13,852,524,960.56
  5. Step 5: Solve for x
    x = 13,852,524,960.56/87,588.75
  6. Step 6: Final answer
    x = 158,154.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.