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Finding the Third Proportional to 41,238 and 91,953

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Solution

The third proportional to 41,238 and 91,953 is: 205,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,238 : 91,953 = 91,953 : x
  2. Step 2: Convert to fraction form
    41,238/91,953 = 91,953/x
  3. Step 3: Cross multiply
    41,238x = 91,953 × 91,953
  4. Step 4: Simplify right side
    41,238x = 8,455,354,209
  5. Step 5: Solve for x
    x = 8,455,354,209/41,238
  6. Step 6: Final answer
    x = 205,037.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.