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Finding the Third Proportional to 36,164 and 77,780

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Solution

The third proportional to 36,164 and 77,780 is: 167,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164 : 77,780 = 77,780 : x
  2. Step 2: Convert to fraction form
    36,164/77,780 = 77,780/x
  3. Step 3: Cross multiply
    36,164x = 77,780 × 77,780
  4. Step 4: Simplify right side
    36,164x = 6,049,728,400
  5. Step 5: Solve for x
    x = 6,049,728,400/36,164
  6. Step 6: Final answer
    x = 167,285.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.