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Finding the Third Proportional to 135,912 and 209,928

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Solution

The third proportional to 135,912 and 209,928 is: 324,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,912 : 209,928 = 209,928 : x
  2. Step 2: Convert to fraction form
    135,912/209,928 = 209,928/x
  3. Step 3: Cross multiply
    135,912x = 209,928 × 209,928
  4. Step 4: Simplify right side
    135,912x = 44,069,765,184
  5. Step 5: Solve for x
    x = 44,069,765,184/135,912
  6. Step 6: Final answer
    x = 324,252.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.