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Finding the Third Proportional to 53,696 and 121,314

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Solution

The third proportional to 53,696 and 121,314 is: 274,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696 : 121,314 = 121,314 : x
  2. Step 2: Convert to fraction form
    53,696/121,314 = 121,314/x
  3. Step 3: Cross multiply
    53,696x = 121,314 × 121,314
  4. Step 4: Simplify right side
    53,696x = 14,717,086,596
  5. Step 5: Solve for x
    x = 14,717,086,596/53,696
  6. Step 6: Final answer
    x = 274,081.62

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.