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Finding the Third Proportional to 117,539 and 173,838

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Solution

The third proportional to 117,539 and 173,838 is: 257,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,539 : 173,838 = 173,838 : x
  2. Step 2: Convert to fraction form
    117,539/173,838 = 173,838/x
  3. Step 3: Cross multiply
    117,539x = 173,838 × 173,838
  4. Step 4: Simplify right side
    117,539x = 30,219,650,244
  5. Step 5: Solve for x
    x = 30,219,650,244/117,539
  6. Step 6: Final answer
    x = 257,103.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.