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Finding the Third Proportional to 29,861 and 65,181

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Solution

The third proportional to 29,861 and 65,181 is: 142,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,861 : 65,181 = 65,181 : x
  2. Step 2: Convert to fraction form
    29,861/65,181 = 65,181/x
  3. Step 3: Cross multiply
    29,861x = 65,181 × 65,181
  4. Step 4: Simplify right side
    29,861x = 4,248,562,761
  5. Step 5: Solve for x
    x = 4,248,562,761/29,861
  6. Step 6: Final answer
    x = 142,277.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.