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Finding the Third Proportional to 139,253 and 203,011

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Solution

The third proportional to 139,253 and 203,011 is: 295,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,253 : 203,011 = 203,011 : x
  2. Step 2: Convert to fraction form
    139,253/203,011 = 203,011/x
  3. Step 3: Cross multiply
    139,253x = 203,011 × 203,011
  4. Step 4: Simplify right side
    139,253x = 41,213,466,121
  5. Step 5: Solve for x
    x = 41,213,466,121/139,253
  6. Step 6: Final answer
    x = 295,961.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.