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Finding the Third Proportional to 54,742 and 117,260

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Solution

The third proportional to 54,742 and 117,260 is: 251,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742 : 117,260 = 117,260 : x
  2. Step 2: Convert to fraction form
    54,742/117,260 = 117,260/x
  3. Step 3: Cross multiply
    54,742x = 117,260 × 117,260
  4. Step 4: Simplify right side
    54,742x = 13,749,907,600
  5. Step 5: Solve for x
    x = 13,749,907,600/54,742
  6. Step 6: Final answer
    x = 251,176.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.