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Finding the Third Proportional to 51,608 and 113,051

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Solution

The third proportional to 51,608 and 113,051 is: 247,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608 : 113,051 = 113,051 : x
  2. Step 2: Convert to fraction form
    51,608/113,051 = 113,051/x
  3. Step 3: Cross multiply
    51,608x = 113,051 × 113,051
  4. Step 4: Simplify right side
    51,608x = 12,780,528,601
  5. Step 5: Solve for x
    x = 12,780,528,601/51,608
  6. Step 6: Final answer
    x = 247,646.27

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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.