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Finding the Third Proportional to 129,394 and 205,755

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Solution

The third proportional to 129,394 and 205,755 is: 327,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,394 : 205,755 = 205,755 : x
  2. Step 2: Convert to fraction form
    129,394/205,755 = 205,755/x
  3. Step 3: Cross multiply
    129,394x = 205,755 × 205,755
  4. Step 4: Simplify right side
    129,394x = 42,335,120,025
  5. Step 5: Solve for x
    x = 42,335,120,025/129,394
  6. Step 6: Final answer
    x = 327,179.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.