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Finding the Third Proportional to 51,516 and 112,338

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Solution

The third proportional to 51,516 and 112,338 is: 244,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 112,338 = 112,338 : x
  2. Step 2: Convert to fraction form
    51,516/112,338 = 112,338/x
  3. Step 3: Cross multiply
    51,516x = 112,338 × 112,338
  4. Step 4: Simplify right side
    51,516x = 12,619,826,244
  5. Step 5: Solve for x
    x = 12,619,826,244/51,516
  6. Step 6: Final answer
    x = 244,969.06

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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.