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Finding the Third Proportional to 107,716 and 235,016

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Solution

The third proportional to 107,716 and 235,016 is: 512,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716 : 235,016 = 235,016 : x
  2. Step 2: Convert to fraction form
    107,716/235,016 = 235,016/x
  3. Step 3: Cross multiply
    107,716x = 235,016 × 235,016
  4. Step 4: Simplify right side
    107,716x = 55,232,520,256
  5. Step 5: Solve for x
    x = 55,232,520,256/107,716
  6. Step 6: Final answer
    x = 512,760.60

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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.