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Finding the Third Proportional to 63,234 and 133,434

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Solution

The third proportional to 63,234 and 133,434 is: 281,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,234 : 133,434 = 133,434 : x
  2. Step 2: Convert to fraction form
    63,234/133,434 = 133,434/x
  3. Step 3: Cross multiply
    63,234x = 133,434 × 133,434
  4. Step 4: Simplify right side
    63,234x = 17,804,632,356
  5. Step 5: Solve for x
    x = 17,804,632,356/63,234
  6. Step 6: Final answer
    x = 281,567.39

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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.