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Finding the Third Proportional to 53,562 and 126,651

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Solution

The third proportional to 53,562 and 126,651 is: 299,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,562 : 126,651 = 126,651 : x
  2. Step 2: Convert to fraction form
    53,562/126,651 = 126,651/x
  3. Step 3: Cross multiply
    53,562x = 126,651 × 126,651
  4. Step 4: Simplify right side
    53,562x = 16,040,475,801
  5. Step 5: Solve for x
    x = 16,040,475,801/53,562
  6. Step 6: Final answer
    x = 299,474.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.