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Finding the Third Proportional to 123,554 and 271,165

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Solution

The third proportional to 123,554 and 271,165 is: 595,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,554 : 271,165 = 271,165 : x
  2. Step 2: Convert to fraction form
    123,554/271,165 = 271,165/x
  3. Step 3: Cross multiply
    123,554x = 271,165 × 271,165
  4. Step 4: Simplify right side
    123,554x = 73,530,457,225
  5. Step 5: Solve for x
    x = 73,530,457,225/123,554
  6. Step 6: Final answer
    x = 595,128.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.