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Finding the Third Proportional to 51,652 and 113,133

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Solution

The third proportional to 51,652 and 113,133 is: 247,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652 : 113,133 = 113,133 : x
  2. Step 2: Convert to fraction form
    51,652/113,133 = 113,133/x
  3. Step 3: Cross multiply
    51,652x = 113,133 × 113,133
  4. Step 4: Simplify right side
    51,652x = 12,799,075,689
  5. Step 5: Solve for x
    x = 12,799,075,689/51,652
  6. Step 6: Final answer
    x = 247,794.39

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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.