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Finding the Third Proportional to 45,079 and 65,293

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Solution

The third proportional to 45,079 and 65,293 is: 94,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,079 : 65,293 = 65,293 : x
  2. Step 2: Convert to fraction form
    45,079/65,293 = 65,293/x
  3. Step 3: Cross multiply
    45,079x = 65,293 × 65,293
  4. Step 4: Simplify right side
    45,079x = 4,263,175,849
  5. Step 5: Solve for x
    x = 4,263,175,849/45,079
  6. Step 6: Final answer
    x = 94,571.22

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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.