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Finding the Third Proportional to 59,494 and 132,110

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Solution

The third proportional to 59,494 and 132,110 is: 293,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,494 : 132,110 = 132,110 : x
  2. Step 2: Convert to fraction form
    59,494/132,110 = 132,110/x
  3. Step 3: Cross multiply
    59,494x = 132,110 × 132,110
  4. Step 4: Simplify right side
    59,494x = 17,453,052,100
  5. Step 5: Solve for x
    x = 17,453,052,100/59,494
  6. Step 6: Final answer
    x = 293,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.