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Finding the Third Proportional to 36,134 and 53,889

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Solution

The third proportional to 36,134 and 53,889 is: 80,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,134 : 53,889 = 53,889 : x
  2. Step 2: Convert to fraction form
    36,134/53,889 = 53,889/x
  3. Step 3: Cross multiply
    36,134x = 53,889 × 53,889
  4. Step 4: Simplify right side
    36,134x = 2,904,024,321
  5. Step 5: Solve for x
    x = 2,904,024,321/36,134
  6. Step 6: Final answer
    x = 80,368.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.