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Finding the Third Proportional to 127,832 and 242,542

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Solution

The third proportional to 127,832 and 242,542 is: 460,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,832 : 242,542 = 242,542 : x
  2. Step 2: Convert to fraction form
    127,832/242,542 = 242,542/x
  3. Step 3: Cross multiply
    127,832x = 242,542 × 242,542
  4. Step 4: Simplify right side
    127,832x = 58,826,621,764
  5. Step 5: Solve for x
    x = 58,826,621,764/127,832
  6. Step 6: Final answer
    x = 460,186.98

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.