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Finding the Third Proportional to 118,143.56 and 159,172.59

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Solution

The third proportional to 118,143.56 and 159,172.59 is: 214,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,143.56 : 159,172.59 = 159,172.59 : x
  2. Step 2: Convert to fraction form
    118,143.56/159,172.59 = 159,172.59/x
  3. Step 3: Cross multiply
    118,143.56x = 159,172.59 × 159,172.59
  4. Step 4: Simplify right side
    118,143.56x = 25,335,914,601.10
  5. Step 5: Solve for x
    x = 25,335,914,601.10/118,143.56
  6. Step 6: Final answer
    x = 214,450.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.