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Finding the Third Proportional to 29,965 and 65,212

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Solution

The third proportional to 29,965 and 65,212 is: 141,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965 : 65,212 = 65,212 : x
  2. Step 2: Convert to fraction form
    29,965/65,212 = 65,212/x
  3. Step 3: Cross multiply
    29,965x = 65,212 × 65,212
  4. Step 4: Simplify right side
    29,965x = 4,252,604,944
  5. Step 5: Solve for x
    x = 4,252,604,944/29,965
  6. Step 6: Final answer
    x = 141,919.07

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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.