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Finding the Third Proportional to 53,178 and 113,268

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Solution

The third proportional to 53,178 and 113,268 is: 241,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,178 : 113,268 = 113,268 : x
  2. Step 2: Convert to fraction form
    53,178/113,268 = 113,268/x
  3. Step 3: Cross multiply
    53,178x = 113,268 × 113,268
  4. Step 4: Simplify right side
    53,178x = 12,829,639,824
  5. Step 5: Solve for x
    x = 12,829,639,824/53,178
  6. Step 6: Final answer
    x = 241,258.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.