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Finding the Third Proportional to 139,701 and 301,542

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Solution

The third proportional to 139,701 and 301,542 is: 650,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,701 : 301,542 = 301,542 : x
  2. Step 2: Convert to fraction form
    139,701/301,542 = 301,542/x
  3. Step 3: Cross multiply
    139,701x = 301,542 × 301,542
  4. Step 4: Simplify right side
    139,701x = 90,927,577,764
  5. Step 5: Solve for x
    x = 90,927,577,764/139,701
  6. Step 6: Final answer
    x = 650,872.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.