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Finding the Third Proportional to 66,930 and 139,405

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Solution

The third proportional to 66,930 and 139,405 is: 290,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,930 : 139,405 = 139,405 : x
  2. Step 2: Convert to fraction form
    66,930/139,405 = 139,405/x
  3. Step 3: Cross multiply
    66,930x = 139,405 × 139,405
  4. Step 4: Simplify right side
    66,930x = 19,433,754,025
  5. Step 5: Solve for x
    x = 19,433,754,025/66,930
  6. Step 6: Final answer
    x = 290,359.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.