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Finding the Third Proportional to 123,206 and 176,187

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Solution

The third proportional to 123,206 and 176,187 is: 251,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,206 : 176,187 = 176,187 : x
  2. Step 2: Convert to fraction form
    123,206/176,187 = 176,187/x
  3. Step 3: Cross multiply
    123,206x = 176,187 × 176,187
  4. Step 4: Simplify right side
    123,206x = 31,041,858,969
  5. Step 5: Solve for x
    x = 31,041,858,969/123,206
  6. Step 6: Final answer
    x = 251,950.87

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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.