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Finding the Third Proportional to 29,016 and 65,132

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Solution

The third proportional to 29,016 and 65,132 is: 146,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,016 : 65,132 = 65,132 : x
  2. Step 2: Convert to fraction form
    29,016/65,132 = 65,132/x
  3. Step 3: Cross multiply
    29,016x = 65,132 × 65,132
  4. Step 4: Simplify right side
    29,016x = 4,242,177,424
  5. Step 5: Solve for x
    x = 4,242,177,424/29,016
  6. Step 6: Final answer
    x = 146,201.32

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.