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Finding the Third Proportional to 123,230 and 176,091

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Solution

The third proportional to 123,230 and 176,091 is: 251,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,230 : 176,091 = 176,091 : x
  2. Step 2: Convert to fraction form
    123,230/176,091 = 176,091/x
  3. Step 3: Cross multiply
    123,230x = 176,091 × 176,091
  4. Step 4: Simplify right side
    123,230x = 31,008,040,281
  5. Step 5: Solve for x
    x = 31,008,040,281/123,230
  6. Step 6: Final answer
    x = 251,627.37

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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.