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Finding the Third Proportional to 129,777.75 and 281,585.25

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Solution

The third proportional to 129,777.75 and 281,585.25 is: 610,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,777.75 : 281,585.25 = 281,585.25 : x
  2. Step 2: Convert to fraction form
    129,777.75/281,585.25 = 281,585.25/x
  3. Step 3: Cross multiply
    129,777.75x = 281,585.25 × 281,585.25
  4. Step 4: Simplify right side
    129,777.75x = 79,290,253,017.56
  5. Step 5: Solve for x
    x = 79,290,253,017.56/129,777.75
  6. Step 6: Final answer
    x = 610,969.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.