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Finding the Third Proportional to 41,575 and 88,679

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Solution

The third proportional to 41,575 and 88,679 is: 189,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,575 : 88,679 = 88,679 : x
  2. Step 2: Convert to fraction form
    41,575/88,679 = 88,679/x
  3. Step 3: Cross multiply
    41,575x = 88,679 × 88,679
  4. Step 4: Simplify right side
    41,575x = 7,863,965,041
  5. Step 5: Solve for x
    x = 7,863,965,041/41,575
  6. Step 6: Final answer
    x = 189,151.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.