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Finding the Third Proportional to 123,553.50 and 271,164

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Solution

The third proportional to 123,553.50 and 271,164 is: 595,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,553.50 : 271,164 = 271,164 : x
  2. Step 2: Convert to fraction form
    123,553.50/271,164 = 271,164/x
  3. Step 3: Cross multiply
    123,553.50x = 271,164 × 271,164
  4. Step 4: Simplify right side
    123,553.50x = 73,529,914,896
  5. Step 5: Solve for x
    x = 73,529,914,896/123,553.50
  6. Step 6: Final answer
    x = 595,126.12

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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.