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Finding the Third Proportional to 59,826 and 129,558

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Solution

The third proportional to 59,826 and 129,558 is: 280,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,826 : 129,558 = 129,558 : x
  2. Step 2: Convert to fraction form
    59,826/129,558 = 129,558/x
  3. Step 3: Cross multiply
    59,826x = 129,558 × 129,558
  4. Step 4: Simplify right side
    59,826x = 16,785,275,364
  5. Step 5: Solve for x
    x = 16,785,275,364/59,826
  6. Step 6: Final answer
    x = 280,568.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.