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Finding the Third Proportional to 62,561 and 133,051

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Solution

The third proportional to 62,561 and 133,051 is: 282,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,561 : 133,051 = 133,051 : x
  2. Step 2: Convert to fraction form
    62,561/133,051 = 133,051/x
  3. Step 3: Cross multiply
    62,561x = 133,051 × 133,051
  4. Step 4: Simplify right side
    62,561x = 17,702,568,601
  5. Step 5: Solve for x
    x = 17,702,568,601/62,561
  6. Step 6: Final answer
    x = 282,964.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.