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Finding the Third Proportional to 107,676 and 235,014

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Solution

The third proportional to 107,676 and 235,014 is: 512,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,676 : 235,014 = 235,014 : x
  2. Step 2: Convert to fraction form
    107,676/235,014 = 235,014/x
  3. Step 3: Cross multiply
    107,676x = 235,014 × 235,014
  4. Step 4: Simplify right side
    107,676x = 55,231,580,196
  5. Step 5: Solve for x
    x = 55,231,580,196/107,676
  6. Step 6: Final answer
    x = 512,942.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.