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Finding the Third Proportional to 52,084 and 112,079

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Solution

The third proportional to 52,084 and 112,079 is: 241,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084 : 112,079 = 112,079 : x
  2. Step 2: Convert to fraction form
    52,084/112,079 = 112,079/x
  3. Step 3: Cross multiply
    52,084x = 112,079 × 112,079
  4. Step 4: Simplify right side
    52,084x = 12,561,702,241
  5. Step 5: Solve for x
    x = 12,561,702,241/52,084
  6. Step 6: Final answer
    x = 241,181.60

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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.