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Finding the Third Proportional to 55,341 and 85,175

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Solution

The third proportional to 55,341 and 85,175 is: 131,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,341 : 85,175 = 85,175 : x
  2. Step 2: Convert to fraction form
    55,341/85,175 = 85,175/x
  3. Step 3: Cross multiply
    55,341x = 85,175 × 85,175
  4. Step 4: Simplify right side
    55,341x = 7,254,780,625
  5. Step 5: Solve for x
    x = 7,254,780,625/55,341
  6. Step 6: Final answer
    x = 131,092.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.