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Finding the Third Proportional to 65,940 and 155,592

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Solution

The third proportional to 65,940 and 155,592 is: 367,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,940 : 155,592 = 155,592 : x
  2. Step 2: Convert to fraction form
    65,940/155,592 = 155,592/x
  3. Step 3: Cross multiply
    65,940x = 155,592 × 155,592
  4. Step 4: Simplify right side
    65,940x = 24,208,870,464
  5. Step 5: Solve for x
    x = 24,208,870,464/65,940
  6. Step 6: Final answer
    x = 367,134.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.