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Finding the Third Proportional to 105,987 and 227,329

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Solution

The third proportional to 105,987 and 227,329 is: 487,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,987 : 227,329 = 227,329 : x
  2. Step 2: Convert to fraction form
    105,987/227,329 = 227,329/x
  3. Step 3: Cross multiply
    105,987x = 227,329 × 227,329
  4. Step 4: Simplify right side
    105,987x = 51,678,474,241
  5. Step 5: Solve for x
    x = 51,678,474,241/105,987
  6. Step 6: Final answer
    x = 487,592.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.