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Finding the Third Proportional to 139,751 and 217,928

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Solution

The third proportional to 139,751 and 217,928 is: 339,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,751 : 217,928 = 217,928 : x
  2. Step 2: Convert to fraction form
    139,751/217,928 = 217,928/x
  3. Step 3: Cross multiply
    139,751x = 217,928 × 217,928
  4. Step 4: Simplify right side
    139,751x = 47,492,613,184
  5. Step 5: Solve for x
    x = 47,492,613,184/139,751
  6. Step 6: Final answer
    x = 339,837.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.