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Finding the Third Proportional to 57,696 and 126,072

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Solution

The third proportional to 57,696 and 126,072 is: 275,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696 : 126,072 = 126,072 : x
  2. Step 2: Convert to fraction form
    57,696/126,072 = 126,072/x
  3. Step 3: Cross multiply
    57,696x = 126,072 × 126,072
  4. Step 4: Simplify right side
    57,696x = 15,894,149,184
  5. Step 5: Solve for x
    x = 15,894,149,184/57,696
  6. Step 6: Final answer
    x = 275,480.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.