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Finding the Third Proportional to 65,674.13 and 95,640.75

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Solution

The third proportional to 65,674.13 and 95,640.75 is: 139,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674.13 : 95,640.75 = 95,640.75 : x
  2. Step 2: Convert to fraction form
    65,674.13/95,640.75 = 95,640.75/x
  3. Step 3: Cross multiply
    65,674.13x = 95,640.75 × 95,640.75
  4. Step 4: Simplify right side
    65,674.13x = 9,147,153,060.56
  5. Step 5: Solve for x
    x = 9,147,153,060.56/65,674.13
  6. Step 6: Final answer
    x = 139,280.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.