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Finding the Third Proportional to 123,950 and 255,236

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Solution

The third proportional to 123,950 and 255,236 is: 525,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,950 : 255,236 = 255,236 : x
  2. Step 2: Convert to fraction form
    123,950/255,236 = 255,236/x
  3. Step 3: Cross multiply
    123,950x = 255,236 × 255,236
  4. Step 4: Simplify right side
    123,950x = 65,145,415,696
  5. Step 5: Solve for x
    x = 65,145,415,696/123,950
  6. Step 6: Final answer
    x = 525,578.18

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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.