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Finding the Third Proportional to 61,200 and 132,192

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Solution

The third proportional to 61,200 and 132,192 is: 285,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200 : 132,192 = 132,192 : x
  2. Step 2: Convert to fraction form
    61,200/132,192 = 132,192/x
  3. Step 3: Cross multiply
    61,200x = 132,192 × 132,192
  4. Step 4: Simplify right side
    61,200x = 17,474,724,864
  5. Step 5: Solve for x
    x = 17,474,724,864/61,200
  6. Step 6: Final answer
    x = 285,534.72

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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.