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Finding the Third Proportional to 61,980 and 133,896

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Solution

The third proportional to 61,980 and 133,896 is: 289,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980 : 133,896 = 133,896 : x
  2. Step 2: Convert to fraction form
    61,980/133,896 = 133,896/x
  3. Step 3: Cross multiply
    61,980x = 133,896 × 133,896
  4. Step 4: Simplify right side
    61,980x = 17,928,138,816
  5. Step 5: Solve for x
    x = 17,928,138,816/61,980
  6. Step 6: Final answer
    x = 289,256.84

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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.