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Finding the Third Proportional to 59,755 and 81,194

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Solution

The third proportional to 59,755 and 81,194 is: 110,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,755 : 81,194 = 81,194 : x
  2. Step 2: Convert to fraction form
    59,755/81,194 = 81,194/x
  3. Step 3: Cross multiply
    59,755x = 81,194 × 81,194
  4. Step 4: Simplify right side
    59,755x = 6,592,465,636
  5. Step 5: Solve for x
    x = 6,592,465,636/59,755
  6. Step 6: Final answer
    x = 110,324.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.