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Finding the Third Proportional to 53,960 and 126,034

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Solution

The third proportional to 53,960 and 126,034 is: 294,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,960 : 126,034 = 126,034 : x
  2. Step 2: Convert to fraction form
    53,960/126,034 = 126,034/x
  3. Step 3: Cross multiply
    53,960x = 126,034 × 126,034
  4. Step 4: Simplify right side
    53,960x = 15,884,569,156
  5. Step 5: Solve for x
    x = 15,884,569,156/53,960
  6. Step 6: Final answer
    x = 294,376.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.