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Finding the Third Proportional to 136,138.50 and 281,025

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Solution

The third proportional to 136,138.50 and 281,025 is: 580,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,138.50 : 281,025 = 281,025 : x
  2. Step 2: Convert to fraction form
    136,138.50/281,025 = 281,025/x
  3. Step 3: Cross multiply
    136,138.50x = 281,025 × 281,025
  4. Step 4: Simplify right side
    136,138.50x = 78,975,050,625
  5. Step 5: Solve for x
    x = 78,975,050,625/136,138.50
  6. Step 6: Final answer
    x = 580,108.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.