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Finding the Third Proportional to 58,586 and 138,242

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Solution

The third proportional to 58,586 and 138,242 is: 326,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,586 : 138,242 = 138,242 : x
  2. Step 2: Convert to fraction form
    58,586/138,242 = 138,242/x
  3. Step 3: Cross multiply
    58,586x = 138,242 × 138,242
  4. Step 4: Simplify right side
    58,586x = 19,110,850,564
  5. Step 5: Solve for x
    x = 19,110,850,564/58,586
  6. Step 6: Final answer
    x = 326,201.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.