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Finding the Third Proportional to 53,680 and 115,163

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Solution

The third proportional to 53,680 and 115,163 is: 247,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,680 : 115,163 = 115,163 : x
  2. Step 2: Convert to fraction form
    53,680/115,163 = 115,163/x
  3. Step 3: Cross multiply
    53,680x = 115,163 × 115,163
  4. Step 4: Simplify right side
    53,680x = 13,262,516,569
  5. Step 5: Solve for x
    x = 13,262,516,569/53,680
  6. Step 6: Final answer
    x = 247,066.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.