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Finding the Third Proportional to 65,036 and 140,520

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Solution

The third proportional to 65,036 and 140,520 is: 303,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,036 : 140,520 = 140,520 : x
  2. Step 2: Convert to fraction form
    65,036/140,520 = 140,520/x
  3. Step 3: Cross multiply
    65,036x = 140,520 × 140,520
  4. Step 4: Simplify right side
    65,036x = 19,745,870,400
  5. Step 5: Solve for x
    x = 19,745,870,400/65,036
  6. Step 6: Final answer
    x = 303,614.47

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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.