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Finding the Third Proportional to 123,236 and 176,104

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Solution

The third proportional to 123,236 and 176,104 is: 251,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,236 : 176,104 = 176,104 : x
  2. Step 2: Convert to fraction form
    123,236/176,104 = 176,104/x
  3. Step 3: Cross multiply
    123,236x = 176,104 × 176,104
  4. Step 4: Simplify right side
    123,236x = 31,012,618,816
  5. Step 5: Solve for x
    x = 31,012,618,816/123,236
  6. Step 6: Final answer
    x = 251,652.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.