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Finding the Third Proportional to 59,420 and 132,124

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Solution

The third proportional to 59,420 and 132,124 is: 293,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,420 : 132,124 = 132,124 : x
  2. Step 2: Convert to fraction form
    59,420/132,124 = 132,124/x
  3. Step 3: Cross multiply
    59,420x = 132,124 × 132,124
  4. Step 4: Simplify right side
    59,420x = 17,456,751,376
  5. Step 5: Solve for x
    x = 17,456,751,376/59,420
  6. Step 6: Final answer
    x = 293,785.79

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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.