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Finding the Third Proportional to 54,375 and 83,187

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Solution

The third proportional to 54,375 and 83,187 is: 127,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375 : 83,187 = 83,187 : x
  2. Step 2: Convert to fraction form
    54,375/83,187 = 83,187/x
  3. Step 3: Cross multiply
    54,375x = 83,187 × 83,187
  4. Step 4: Simplify right side
    54,375x = 6,920,076,969
  5. Step 5: Solve for x
    x = 6,920,076,969/54,375
  6. Step 6: Final answer
    x = 127,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.