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Finding the Third Proportional to 41,575 and 91,197

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Solution

The third proportional to 41,575 and 91,197 is: 200,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,575 : 91,197 = 91,197 : x
  2. Step 2: Convert to fraction form
    41,575/91,197 = 91,197/x
  3. Step 3: Cross multiply
    41,575x = 91,197 × 91,197
  4. Step 4: Simplify right side
    41,575x = 8,316,892,809
  5. Step 5: Solve for x
    x = 8,316,892,809/41,575
  6. Step 6: Final answer
    x = 200,045.53

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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.