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Finding the Third Proportional to 55,210 and 120,236

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Solution

The third proportional to 55,210 and 120,236 is: 261,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,210 : 120,236 = 120,236 : x
  2. Step 2: Convert to fraction form
    55,210/120,236 = 120,236/x
  3. Step 3: Cross multiply
    55,210x = 120,236 × 120,236
  4. Step 4: Simplify right side
    55,210x = 14,456,695,696
  5. Step 5: Solve for x
    x = 14,456,695,696/55,210
  6. Step 6: Final answer
    x = 261,849.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.