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Finding the Third Proportional to 123,287 and 176,182

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Solution

The third proportional to 123,287 and 176,182 is: 251,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,287 : 176,182 = 176,182 : x
  2. Step 2: Convert to fraction form
    123,287/176,182 = 176,182/x
  3. Step 3: Cross multiply
    123,287x = 176,182 × 176,182
  4. Step 4: Simplify right side
    123,287x = 31,040,097,124
  5. Step 5: Solve for x
    x = 31,040,097,124/123,287
  6. Step 6: Final answer
    x = 251,771.05

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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.