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Finding the Third Proportional to 30,208 and 65,606

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Solution

The third proportional to 30,208 and 65,606 is: 142,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208 : 65,606 = 65,606 : x
  2. Step 2: Convert to fraction form
    30,208/65,606 = 65,606/x
  3. Step 3: Cross multiply
    30,208x = 65,606 × 65,606
  4. Step 4: Simplify right side
    30,208x = 4,304,147,236
  5. Step 5: Solve for x
    x = 4,304,147,236/30,208
  6. Step 6: Final answer
    x = 142,483.69

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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.