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Finding the Third Proportional to 41,520 and 90,088

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Solution

The third proportional to 41,520 and 90,088 is: 195,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520 : 90,088 = 90,088 : x
  2. Step 2: Convert to fraction form
    41,520/90,088 = 90,088/x
  3. Step 3: Cross multiply
    41,520x = 90,088 × 90,088
  4. Step 4: Simplify right side
    41,520x = 8,115,847,744
  5. Step 5: Solve for x
    x = 8,115,847,744/41,520
  6. Step 6: Final answer
    x = 195,468.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.