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Finding the Third Proportional to 65,034 and 140,436

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Solution

The third proportional to 65,034 and 140,436 is: 303,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,034 : 140,436 = 140,436 : x
  2. Step 2: Convert to fraction form
    65,034/140,436 = 140,436/x
  3. Step 3: Cross multiply
    65,034x = 140,436 × 140,436
  4. Step 4: Simplify right side
    65,034x = 19,722,270,096
  5. Step 5: Solve for x
    x = 19,722,270,096/65,034
  6. Step 6: Final answer
    x = 303,260.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.