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Finding the Third Proportional to 30,116 and 65,252

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Solution

The third proportional to 30,116 and 65,252 is: 141,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,116 : 65,252 = 65,252 : x
  2. Step 2: Convert to fraction form
    30,116/65,252 = 65,252/x
  3. Step 3: Cross multiply
    30,116x = 65,252 × 65,252
  4. Step 4: Simplify right side
    30,116x = 4,257,823,504
  5. Step 5: Solve for x
    x = 4,257,823,504/30,116
  6. Step 6: Final answer
    x = 141,380.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.