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Finding the Third Proportional to 123,254 and 176,131

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Solution

The third proportional to 123,254 and 176,131 is: 251,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,254 : 176,131 = 176,131 : x
  2. Step 2: Convert to fraction form
    123,254/176,131 = 176,131/x
  3. Step 3: Cross multiply
    123,254x = 176,131 × 176,131
  4. Step 4: Simplify right side
    123,254x = 31,022,129,161
  5. Step 5: Solve for x
    x = 31,022,129,161/123,254
  6. Step 6: Final answer
    x = 251,692.68

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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.