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Finding the Third Proportional to 65,233.69 and 100,797.75

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Solution

The third proportional to 65,233.69 and 100,797.75 is: 155,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.69 : 100,797.75 = 100,797.75 : x
  2. Step 2: Convert to fraction form
    65,233.69/100,797.75 = 100,797.75/x
  3. Step 3: Cross multiply
    65,233.69x = 100,797.75 × 100,797.75
  4. Step 4: Simplify right side
    65,233.69x = 10,160,186,405.06
  5. Step 5: Solve for x
    x = 10,160,186,405.06/65,233.69
  6. Step 6: Final answer
    x = 155,750.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.