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Finding the Third Proportional to 41,575 and 91,454

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Solution

The third proportional to 41,575 and 91,454 is: 201,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,575 : 91,454 = 91,454 : x
  2. Step 2: Convert to fraction form
    41,575/91,454 = 91,454/x
  3. Step 3: Cross multiply
    41,575x = 91,454 × 91,454
  4. Step 4: Simplify right side
    41,575x = 8,363,834,116
  5. Step 5: Solve for x
    x = 8,363,834,116/41,575
  6. Step 6: Final answer
    x = 201,174.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.