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Finding the Third Proportional to 41,024 and 89,708

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Solution

The third proportional to 41,024 and 89,708 is: 196,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,024 : 89,708 = 89,708 : x
  2. Step 2: Convert to fraction form
    41,024/89,708 = 89,708/x
  3. Step 3: Cross multiply
    41,024x = 89,708 × 89,708
  4. Step 4: Simplify right side
    41,024x = 8,047,525,264
  5. Step 5: Solve for x
    x = 8,047,525,264/41,024
  6. Step 6: Final answer
    x = 196,166.27

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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.