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Finding the Third Proportional to 107,642 and 235,722

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Solution

The third proportional to 107,642 and 235,722 is: 516,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,642 : 235,722 = 235,722 : x
  2. Step 2: Convert to fraction form
    107,642/235,722 = 235,722/x
  3. Step 3: Cross multiply
    107,642x = 235,722 × 235,722
  4. Step 4: Simplify right side
    107,642x = 55,564,861,284
  5. Step 5: Solve for x
    x = 55,564,861,284/107,642
  6. Step 6: Final answer
    x = 516,200.57

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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.