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Finding the Third Proportional to 61,634 and 133,564

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Solution

The third proportional to 61,634 and 133,564 is: 289,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634 : 133,564 = 133,564 : x
  2. Step 2: Convert to fraction form
    61,634/133,564 = 133,564/x
  3. Step 3: Cross multiply
    61,634x = 133,564 × 133,564
  4. Step 4: Simplify right side
    61,634x = 17,839,342,096
  5. Step 5: Solve for x
    x = 17,839,342,096/61,634
  6. Step 6: Final answer
    x = 289,439.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.