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Finding the Third Proportional to 63,188 and 133,624

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Solution

The third proportional to 63,188 and 133,624 is: 282,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,188 : 133,624 = 133,624 : x
  2. Step 2: Convert to fraction form
    63,188/133,624 = 133,624/x
  3. Step 3: Cross multiply
    63,188x = 133,624 × 133,624
  4. Step 4: Simplify right side
    63,188x = 17,855,373,376
  5. Step 5: Solve for x
    x = 17,855,373,376/63,188
  6. Step 6: Final answer
    x = 282,575.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.