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Finding the Third Proportional to 61,936 and 133,807

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Solution

The third proportional to 61,936 and 133,807 is: 289,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,936 : 133,807 = 133,807 : x
  2. Step 2: Convert to fraction form
    61,936/133,807 = 133,807/x
  3. Step 3: Cross multiply
    61,936x = 133,807 × 133,807
  4. Step 4: Simplify right side
    61,936x = 17,904,313,249
  5. Step 5: Solve for x
    x = 17,904,313,249/61,936
  6. Step 6: Final answer
    x = 289,077.65

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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.