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Finding the Third Proportional to 123,272 and 176,151

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Solution

The third proportional to 123,272 and 176,151 is: 251,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,272 : 176,151 = 176,151 : x
  2. Step 2: Convert to fraction form
    123,272/176,151 = 176,151/x
  3. Step 3: Cross multiply
    123,272x = 176,151 × 176,151
  4. Step 4: Simplify right side
    123,272x = 31,029,174,801
  5. Step 5: Solve for x
    x = 31,029,174,801/123,272
  6. Step 6: Final answer
    x = 251,713.08

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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.