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Finding the Third Proportional to 36,050 and 77,302

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Solution

The third proportional to 36,050 and 77,302 is: 165,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,050 : 77,302 = 77,302 : x
  2. Step 2: Convert to fraction form
    36,050/77,302 = 77,302/x
  3. Step 3: Cross multiply
    36,050x = 77,302 × 77,302
  4. Step 4: Simplify right side
    36,050x = 5,975,599,204
  5. Step 5: Solve for x
    x = 5,975,599,204/36,050
  6. Step 6: Final answer
    x = 165,758.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.