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Finding the Third Proportional to 58,082 and 125,914

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Solution

The third proportional to 58,082 and 125,914 is: 272,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,082 : 125,914 = 125,914 : x
  2. Step 2: Convert to fraction form
    58,082/125,914 = 125,914/x
  3. Step 3: Cross multiply
    58,082x = 125,914 × 125,914
  4. Step 4: Simplify right side
    58,082x = 15,854,335,396
  5. Step 5: Solve for x
    x = 15,854,335,396/58,082
  6. Step 6: Final answer
    x = 272,964.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.