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Finding the Third Proportional to 107,072 and 235,329

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Solution

The third proportional to 107,072 and 235,329 is: 517,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,072 : 235,329 = 235,329 : x
  2. Step 2: Convert to fraction form
    107,072/235,329 = 235,329/x
  3. Step 3: Cross multiply
    107,072x = 235,329 × 235,329
  4. Step 4: Simplify right side
    107,072x = 55,379,738,241
  5. Step 5: Solve for x
    x = 55,379,738,241/107,072
  6. Step 6: Final answer
    x = 517,219.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.