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Finding the Third Proportional to 123,242 and 176,107

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Solution

The third proportional to 123,242 and 176,107 is: 251,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,242 : 176,107 = 176,107 : x
  2. Step 2: Convert to fraction form
    123,242/176,107 = 176,107/x
  3. Step 3: Cross multiply
    123,242x = 176,107 × 176,107
  4. Step 4: Simplify right side
    123,242x = 31,013,675,449
  5. Step 5: Solve for x
    x = 31,013,675,449/123,242
  6. Step 6: Final answer
    x = 251,648.59

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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.