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Finding the Third Proportional to 36,941 and 78,497

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Solution

The third proportional to 36,941 and 78,497 is: 166,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941 : 78,497 = 78,497 : x
  2. Step 2: Convert to fraction form
    36,941/78,497 = 78,497/x
  3. Step 3: Cross multiply
    36,941x = 78,497 × 78,497
  4. Step 4: Simplify right side
    36,941x = 6,161,779,009
  5. Step 5: Solve for x
    x = 6,161,779,009/36,941
  6. Step 6: Final answer
    x = 166,800.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.