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Finding the Third Proportional to 71,244 and 110,755

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Solution

The third proportional to 71,244 and 110,755 is: 172,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244 : 110,755 = 110,755 : x
  2. Step 2: Convert to fraction form
    71,244/110,755 = 110,755/x
  3. Step 3: Cross multiply
    71,244x = 110,755 × 110,755
  4. Step 4: Simplify right side
    71,244x = 12,266,670,025
  5. Step 5: Solve for x
    x = 12,266,670,025/71,244
  6. Step 6: Final answer
    x = 172,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.