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Finding the Third Proportional to 61,728 and 133,164

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Solution

The third proportional to 61,728 and 133,164 is: 287,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728 : 133,164 = 133,164 : x
  2. Step 2: Convert to fraction form
    61,728/133,164 = 133,164/x
  3. Step 3: Cross multiply
    61,728x = 133,164 × 133,164
  4. Step 4: Simplify right side
    61,728x = 17,732,650,896
  5. Step 5: Solve for x
    x = 17,732,650,896/61,728
  6. Step 6: Final answer
    x = 287,270.78

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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.