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Finding the Third Proportional to 102,868 and 223,952

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Solution

The third proportional to 102,868 and 223,952 is: 487,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,868 : 223,952 = 223,952 : x
  2. Step 2: Convert to fraction form
    102,868/223,952 = 223,952/x
  3. Step 3: Cross multiply
    102,868x = 223,952 × 223,952
  4. Step 4: Simplify right side
    102,868x = 50,154,498,304
  5. Step 5: Solve for x
    x = 50,154,498,304/102,868
  6. Step 6: Final answer
    x = 487,561.71

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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.