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Finding the Third Proportional to 58,951 and 120,625

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Solution

The third proportional to 58,951 and 120,625 is: 246,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,951 : 120,625 = 120,625 : x
  2. Step 2: Convert to fraction form
    58,951/120,625 = 120,625/x
  3. Step 3: Cross multiply
    58,951x = 120,625 × 120,625
  4. Step 4: Simplify right side
    58,951x = 14,550,390,625
  5. Step 5: Solve for x
    x = 14,550,390,625/58,951
  6. Step 6: Final answer
    x = 246,821.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.