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Finding the Third Proportional to 135,902.50 and 276,316

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Solution

The third proportional to 135,902.50 and 276,316 is: 561,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.50 : 276,316 = 276,316 : x
  2. Step 2: Convert to fraction form
    135,902.50/276,316 = 276,316/x
  3. Step 3: Cross multiply
    135,902.50x = 276,316 × 276,316
  4. Step 4: Simplify right side
    135,902.50x = 76,350,531,856
  5. Step 5: Solve for x
    x = 76,350,531,856/135,902.50
  6. Step 6: Final answer
    x = 561,803.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.