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Finding the Third Proportional to 42,256 and 91,208

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Solution

The third proportional to 42,256 and 91,208 is: 196,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256 : 91,208 = 91,208 : x
  2. Step 2: Convert to fraction form
    42,256/91,208 = 91,208/x
  3. Step 3: Cross multiply
    42,256x = 91,208 × 91,208
  4. Step 4: Simplify right side
    42,256x = 8,318,899,264
  5. Step 5: Solve for x
    x = 8,318,899,264/42,256
  6. Step 6: Final answer
    x = 196,869.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.