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Finding the Third Proportional to 58,408 and 122,647

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Solution

The third proportional to 58,408 and 122,647 is: 257,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,408 : 122,647 = 122,647 : x
  2. Step 2: Convert to fraction form
    58,408/122,647 = 122,647/x
  3. Step 3: Cross multiply
    58,408x = 122,647 × 122,647
  4. Step 4: Simplify right side
    58,408x = 15,042,286,609
  5. Step 5: Solve for x
    x = 15,042,286,609/58,408
  6. Step 6: Final answer
    x = 257,538.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.