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Finding the Third Proportional to 54,256.39 and 117,568.34

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Solution

The third proportional to 54,256.39 and 117,568.34 is: 254,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,256.39 : 117,568.34 = 117,568.34 : x
  2. Step 2: Convert to fraction form
    54,256.39/117,568.34 = 117,568.34/x
  3. Step 3: Cross multiply
    54,256.39x = 117,568.34 × 117,568.34
  4. Step 4: Simplify right side
    54,256.39x = 13,822,313,615.11
  5. Step 5: Solve for x
    x = 13,822,313,615.11/54,256.39
  6. Step 6: Final answer
    x = 254,759.16

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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.