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Finding the Third Proportional to 123,079 and 176,005

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Solution

The third proportional to 123,079 and 176,005 is: 251,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,079 : 176,005 = 176,005 : x
  2. Step 2: Convert to fraction form
    123,079/176,005 = 176,005/x
  3. Step 3: Cross multiply
    123,079x = 176,005 × 176,005
  4. Step 4: Simplify right side
    123,079x = 30,977,760,025
  5. Step 5: Solve for x
    x = 30,977,760,025/123,079
  6. Step 6: Final answer
    x = 251,690.05

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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.