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Finding the Third Proportional to 58,126 and 123,242

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Solution

The third proportional to 58,126 and 123,242 is: 261,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,126 : 123,242 = 123,242 : x
  2. Step 2: Convert to fraction form
    58,126/123,242 = 123,242/x
  3. Step 3: Cross multiply
    58,126x = 123,242 × 123,242
  4. Step 4: Simplify right side
    58,126x = 15,188,590,564
  5. Step 5: Solve for x
    x = 15,188,590,564/58,126
  6. Step 6: Final answer
    x = 261,304.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.