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Finding the Third Proportional to 45,208 and 65,760

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Solution

The third proportional to 45,208 and 65,760 is: 95,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208 : 65,760 = 65,760 : x
  2. Step 2: Convert to fraction form
    45,208/65,760 = 65,760/x
  3. Step 3: Cross multiply
    45,208x = 65,760 × 65,760
  4. Step 4: Simplify right side
    45,208x = 4,324,377,600
  5. Step 5: Solve for x
    x = 4,324,377,600/45,208
  6. Step 6: Final answer
    x = 95,655.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.