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Finding the Third Proportional to 129,292.88 and 274,136.06

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Solution

The third proportional to 129,292.88 and 274,136.06 is: 581,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,292.88 : 274,136.06 = 274,136.06 : x
  2. Step 2: Convert to fraction form
    129,292.88/274,136.06 = 274,136.06/x
  3. Step 3: Cross multiply
    129,292.88x = 274,136.06 × 274,136.06
  4. Step 4: Simplify right side
    129,292.88x = 75,150,580,763.00
  5. Step 5: Solve for x
    x = 75,150,580,763.00/129,292.88
  6. Step 6: Final answer
    x = 581,243.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.