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Finding the Third Proportional to 139,276 and 212,178

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Solution

The third proportional to 139,276 and 212,178 is: 323,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,276 : 212,178 = 212,178 : x
  2. Step 2: Convert to fraction form
    139,276/212,178 = 212,178/x
  3. Step 3: Cross multiply
    139,276x = 212,178 × 212,178
  4. Step 4: Simplify right side
    139,276x = 45,019,503,684
  5. Step 5: Solve for x
    x = 45,019,503,684/139,276
  6. Step 6: Final answer
    x = 323,239.49

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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.