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Finding the Third Proportional to 53,982 and 126,082

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Solution

The third proportional to 53,982 and 126,082 is: 294,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,982 : 126,082 = 126,082 : x
  2. Step 2: Convert to fraction form
    53,982/126,082 = 126,082/x
  3. Step 3: Cross multiply
    53,982x = 126,082 × 126,082
  4. Step 4: Simplify right side
    53,982x = 15,896,670,724
  5. Step 5: Solve for x
    x = 15,896,670,724/53,982
  6. Step 6: Final answer
    x = 294,480.95

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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.