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Finding the Third Proportional to 26,196 and 57,246

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Solution

The third proportional to 26,196 and 57,246 is: 125,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,196 : 57,246 = 57,246 : x
  2. Step 2: Convert to fraction form
    26,196/57,246 = 57,246/x
  3. Step 3: Cross multiply
    26,196x = 57,246 × 57,246
  4. Step 4: Simplify right side
    26,196x = 3,277,104,516
  5. Step 5: Solve for x
    x = 3,277,104,516/26,196
  6. Step 6: Final answer
    x = 125,099.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.