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Finding the Third Proportional to 55,753 and 120,251

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Solution

The third proportional to 55,753 and 120,251 is: 259,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,753 : 120,251 = 120,251 : x
  2. Step 2: Convert to fraction form
    55,753/120,251 = 120,251/x
  3. Step 3: Cross multiply
    55,753x = 120,251 × 120,251
  4. Step 4: Simplify right side
    55,753x = 14,460,303,001
  5. Step 5: Solve for x
    x = 14,460,303,001/55,753
  6. Step 6: Final answer
    x = 259,363.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.