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Finding the Third Proportional to 61,934 and 133,804

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Solution

The third proportional to 61,934 and 133,804 is: 289,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,934 : 133,804 = 133,804 : x
  2. Step 2: Convert to fraction form
    61,934/133,804 = 133,804/x
  3. Step 3: Cross multiply
    61,934x = 133,804 × 133,804
  4. Step 4: Simplify right side
    61,934x = 17,903,510,416
  5. Step 5: Solve for x
    x = 17,903,510,416/61,934
  6. Step 6: Final answer
    x = 289,074.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.