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Finding the Third Proportional to 82,553.50 and 127,551

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Solution

The third proportional to 82,553.50 and 127,551 is: 197,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553.50 : 127,551 = 127,551 : x
  2. Step 2: Convert to fraction form
    82,553.50/127,551 = 127,551/x
  3. Step 3: Cross multiply
    82,553.50x = 127,551 × 127,551
  4. Step 4: Simplify right side
    82,553.50x = 16,269,257,601
  5. Step 5: Solve for x
    x = 16,269,257,601/82,553.50
  6. Step 6: Final answer
    x = 197,075.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.