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Finding the Third Proportional to 59,408 and 122,582

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Solution

The third proportional to 59,408 and 122,582 is: 252,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,408 : 122,582 = 122,582 : x
  2. Step 2: Convert to fraction form
    59,408/122,582 = 122,582/x
  3. Step 3: Cross multiply
    59,408x = 122,582 × 122,582
  4. Step 4: Simplify right side
    59,408x = 15,026,346,724
  5. Step 5: Solve for x
    x = 15,026,346,724/59,408
  6. Step 6: Final answer
    x = 252,934.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.