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Finding the Third Proportional to 51,702 and 113,562

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Solution

The third proportional to 51,702 and 113,562 is: 249,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702 : 113,562 = 113,562 : x
  2. Step 2: Convert to fraction form
    51,702/113,562 = 113,562/x
  3. Step 3: Cross multiply
    51,702x = 113,562 × 113,562
  4. Step 4: Simplify right side
    51,702x = 12,896,327,844
  5. Step 5: Solve for x
    x = 12,896,327,844/51,702
  6. Step 6: Final answer
    x = 249,435.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.