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Finding the Third Proportional to 139,242 and 212,127

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Solution

The third proportional to 139,242 and 212,127 is: 323,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,242 : 212,127 = 212,127 : x
  2. Step 2: Convert to fraction form
    139,242/212,127 = 212,127/x
  3. Step 3: Cross multiply
    139,242x = 212,127 × 212,127
  4. Step 4: Simplify right side
    139,242x = 44,997,864,129
  5. Step 5: Solve for x
    x = 44,997,864,129/139,242
  6. Step 6: Final answer
    x = 323,163.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.