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Finding the Third Proportional to 52,134 and 113,826

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Solution

The third proportional to 52,134 and 113,826 is: 248,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134 : 113,826 = 113,826 : x
  2. Step 2: Convert to fraction form
    52,134/113,826 = 113,826/x
  3. Step 3: Cross multiply
    52,134x = 113,826 × 113,826
  4. Step 4: Simplify right side
    52,134x = 12,956,358,276
  5. Step 5: Solve for x
    x = 12,956,358,276/52,134
  6. Step 6: Final answer
    x = 248,520.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.