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Finding the Third Proportional to 65,014.88 and 142,422.75

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Solution

The third proportional to 65,014.88 and 142,422.75 is: 311,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.88 : 142,422.75 = 142,422.75 : x
  2. Step 2: Convert to fraction form
    65,014.88/142,422.75 = 142,422.75/x
  3. Step 3: Cross multiply
    65,014.88x = 142,422.75 × 142,422.75
  4. Step 4: Simplify right side
    65,014.88x = 20,284,239,717.56
  5. Step 5: Solve for x
    x = 20,284,239,717.56/65,014.88
  6. Step 6: Final answer
    x = 311,993.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.