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Finding the Third Proportional to 52,087 and 112,086

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Solution

The third proportional to 52,087 and 112,086 is: 241,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087 : 112,086 = 112,086 : x
  2. Step 2: Convert to fraction form
    52,087/112,086 = 112,086/x
  3. Step 3: Cross multiply
    52,087x = 112,086 × 112,086
  4. Step 4: Simplify right side
    52,087x = 12,563,271,396
  5. Step 5: Solve for x
    x = 12,563,271,396/52,087
  6. Step 6: Final answer
    x = 241,197.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.