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Finding the Third Proportional to 135,604 and 209,967

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Solution

The third proportional to 135,604 and 209,967 is: 325,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,604 : 209,967 = 209,967 : x
  2. Step 2: Convert to fraction form
    135,604/209,967 = 209,967/x
  3. Step 3: Cross multiply
    135,604x = 209,967 × 209,967
  4. Step 4: Simplify right side
    135,604x = 44,086,141,089
  5. Step 5: Solve for x
    x = 44,086,141,089/135,604
  6. Step 6: Final answer
    x = 325,109.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.